Asked by mesenbet
the gcf of two numbers is 3 and lcm is 180.if one of the numbers is 45,what is the other number?
Answers
Answered by
Reiny
45 = 3*3*5
180 = 2*2*3*3*5 <---- so the other number had to contain a factor of 2*2 or 4
also, let the other number has to be of the form 3k and it must contain a factor of 4, <b>how about 12 ?</b>
check: lcf of 12 and 45 is 3,
the lcm of 12 and 45 is ...
12 = 2*2*3
45 = 3*3*5
so we need: 2*2*3*3*5 = 180
180 = 2*2*3*3*5 <---- so the other number had to contain a factor of 2*2 or 4
also, let the other number has to be of the form 3k and it must contain a factor of 4, <b>how about 12 ?</b>
check: lcf of 12 and 45 is 3,
the lcm of 12 and 45 is ...
12 = 2*2*3
45 = 3*3*5
so we need: 2*2*3*3*5 = 180
Answered by
Fituma
Thanks
Answered by
teame
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Answered by
Ayushee sengar
This is write answer
Answered by
filimon
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Answered by
Dddd
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Answered by
Umer damir
That is correct explanation
Answered by
The
180
Answered by
Person
We know that,
GCF(a,b) × LCM(a,b) = a × b
Substituting the values,
3 × 180 = 45 × b
= b = 3 × 180 ÷ 45
= b = 12
Therefore the other number is 12.
Hope it helped. =)
GCF(a,b) × LCM(a,b) = a × b
Substituting the values,
3 × 180 = 45 × b
= b = 3 × 180 ÷ 45
= b = 12
Therefore the other number is 12.
Hope it helped. =)
Answered by
sosina
a=45
b=?
LCM=180
GCF=3
LCM (45,b)*GCF (45,b)=45,b
180*3=45,b
b=180*3÷45=12
good luck
b=?
LCM=180
GCF=3
LCM (45,b)*GCF (45,b)=45,b
180*3=45,b
b=180*3÷45=12
good luck
Answered by
Mikiyas
Thanks for you ansewer
Answered by
Anonymous
3×180=45+b
b=3×180÷45
b=12
b=3×180÷45
b=12
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