When we"re looking at the LCM (Least usual Multiple), we"re searching for a number the both 12 and also 15 room a aspect of. Oftentimes human being simply assume the if us multiply the two together, we"ll uncover it. In this case, it"d it is in #12xx15=180#. 180 is a multiple of both, however is it the least one? Let"s look.
You are watching: What is the lcm of 12 and 15
I start with a prime factorization that both numbers:
#12=2xx2xx3#
#15=3xx5#
To uncover the LCM, we desire to have actually all the prime factors from both numbers accounted for.
For instance, there are two 2s (in the 12). Let"s placed those in:
#LCM=2xx2xx...#
There is one 3 in both the 12 and also the 15, so we need one 3:
#LCM=2xx2xx3xx...#
And there is one 5 (in the 15) for this reason let"s placed that in:
#LCM=2xx2xx3xx5=60#
#12xx5=60##15xx3=60#
Answer link
sjc
january 30, 2018
#60#
Explanation:
another approach is to use teh relation
#ab=hcf(a,b)lcm(ab)#
now #hcf(12,15)=3#
#:.12xx15=3xxlcm(12,15)#
#lcm(12,15)=(cancel(12)^4xx15)/cancel(3)#
#lcm=4xx15=60#
Answer attach
Meave60
Feb 1, 2018
The LCM is #60#.
Explanation:
The LCM is the least typical multiple. We can uncover the LCM by listing the multiples of the two numbers and identifying the shortest multiple they have in common.
#12:##12,24,36,48,color(red)60,72,84...#
#15:##15,30,45,color(red)60...#
The LCM is #60#.
Answer attach
Parabola
Feb 1, 2018
#60#
Explanation:
Let"s try to find the LCM the #12# and #15#.
We get: #12=2*2*color(blue)3##15= color(blue)3*5#
We watch that they both share #3# is their LCM.
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We divide each number by your LCM.
#12/3=>4#
#15/3=>5#
We multiply these 2 quotients and the LCM to gain our final answer:
#3*4*5=60#
That is ours answer!
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