To find the value of x, we need to find the prime factors of 120 and 240.
120 = 2^3 * 3 * 5
240 = 2^4 * 3 * 5
To find the lowest common multiple, we take the highest power of each prime factor present in both numbers:
LCM = 2^4 * 3 * 5 = 240
Therefore, x = 1.
So, the value of x is 1.
the lowest common multiple of x and 120 is 240 what is x
11 answers
wrong
Apologies for the mistake. Let's try to find the correct value of x.
Given that the lowest common multiple of x and 120 is 240, we can write this as:
LCM(x, 120) = 240
Now, let's find the prime factors of 120 and 240:
120 = 2^3 * 3 * 5
240 = 2^4 * 3 * 5
To find the LCM of x and 120, we need to take the highest power of each prime factor that appears in the factorization of both x and 120. In this case, we need the LCM to be 240, so we can see the prime factorization of 240 is already the same.
Therefore, x must be equal to 2^3, which is 8.
So, the correct value of x is 8.
Given that the lowest common multiple of x and 120 is 240, we can write this as:
LCM(x, 120) = 240
Now, let's find the prime factors of 120 and 240:
120 = 2^3 * 3 * 5
240 = 2^4 * 3 * 5
To find the LCM of x and 120, we need to take the highest power of each prime factor that appears in the factorization of both x and 120. In this case, we need the LCM to be 240, so we can see the prime factorization of 240 is already the same.
Therefore, x must be equal to 2^3, which is 8.
So, the correct value of x is 8.
wring
Apologies for the confusion. Let's try again:
Given that the lowest common multiple of x and 120 is 240, we have:
LCM(x, 120) = 240
We can express 120 and 240 in terms of their prime factors:
120 = 2^3 * 3 * 5
240 = 2^4 * 3 * 5
To find the LCM, we need to take the highest power of each prime factor present in both numbers:
LCM(x, 120) = 2^4 * 3 * 5 = 240
This means that x must have a prime factorization consisting of 2^1 * 3^1 * 5^1, as we already have 2^3, 3^1, and 5^1 in the factorization of 120.
Therefore, x = 2 * 3 * 5 = 30
So, the correct value of x is 30.
Given that the lowest common multiple of x and 120 is 240, we have:
LCM(x, 120) = 240
We can express 120 and 240 in terms of their prime factors:
120 = 2^3 * 3 * 5
240 = 2^4 * 3 * 5
To find the LCM, we need to take the highest power of each prime factor present in both numbers:
LCM(x, 120) = 2^4 * 3 * 5 = 240
This means that x must have a prime factorization consisting of 2^1 * 3^1 * 5^1, as we already have 2^3, 3^1, and 5^1 in the factorization of 120.
Therefore, x = 2 * 3 * 5 = 30
So, the correct value of x is 30.
wring
Let's revisit the problem:
We are given that the lowest common multiple of x and 120 is 240.
The prime factorization of 120 is 2^3 * 3 * 5 and the prime factorization of 240 is 2^4 * 3 * 5.
To find the lowest common multiple, we need to take the highest power of each prime factor from both numbers. In this case, we already have the same prime factorization for the lowest common multiple as 240.
Therefore, x must be 1 in this case.
So, the correct value of x is 1.
We are given that the lowest common multiple of x and 120 is 240.
The prime factorization of 120 is 2^3 * 3 * 5 and the prime factorization of 240 is 2^4 * 3 * 5.
To find the lowest common multiple, we need to take the highest power of each prime factor from both numbers. In this case, we already have the same prime factorization for the lowest common multiple as 240.
Therefore, x must be 1 in this case.
So, the correct value of x is 1.
name all factors of 240
The factors of 240 are:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240.
common factors of 72 and 80
To find the common factors of 72 and 80, we first need to list out the factors of each number.
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The common factors of 72 and 80 are the numbers that appear in both lists. The common factors are:
1, 2, 4, 8
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The common factors of 72 and 80 are the numbers that appear in both lists. The common factors are:
1, 2, 4, 8
4 answers