Least Common Multiple of 312, 936
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 312, 936 i.e. 936 smallest integer divisible by all numbers.
Least common multiple (LCM) of 312, 936 is 936.
LCM(312, 936) = 936
LCM of 312, 936
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 312, 936 by common division method
- Least Common Multiple of 312, 936 with GCF Formula
Least Common Multiple (LCM) of 312,936 is 936
| 2 | 312, 936 |
| 2 | 156, 468 |
| 2 | 78, 234 |
| 3 | 39, 117 |
| 13 | 13, 39 |
| 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 1 x 3 = 936
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 312,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,936) = 312
common factors(in case of two or more numbers have common factors) = 1
GCF(312,936) x common factors =312 x 1 = 312
LCM(312,936) = ( 312 × 936 ) / 312
LCM(312,936) = 292032 / 312
LCM(312,936) = 936
∴ Least Common Multiple of 312,936 is 936
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Frequently Asked Questions on LCM of 312, 936
1. What is the LCM of 312, 936?
Answer: LCM of 312, 936 is 936.
2. What are the Factors of 936?
Answer: Factors of 936 are . There are integers that are factors of 936
3. How to Find the LCM of 312, 936 ?
Least Common Multiple of 312, 936.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(312, 936) = 2 x 2 x 2 x 3 x 3 x 13 = 936.