Least Common Multiple of 18, 26, 312
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 18, 26, 312 i.e. 936 smallest integer divisible by all numbers.
Least common multiple (LCM) of 18, 26, 312 is 936.
LCM(18, 26, 312) = 936
LCM of 18, 26, 312
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 18, 26, 312 by common division method
- Least Common Multiple of 18, 26, 312 with GCF Formula
Least Common Multiple (LCM) of 18,26,312 is 936
| 2 | 18, 26, 312 |
| 3 | 9, 13, 156 |
| 13 | 3, 13, 52 |
| 3, 1, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 3 x 1 x 4 = 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 18,26,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,26,312) = 2
common factors(in case of two or more numbers have common factors) = 78
GCF(18,26,312) x common factors =2 x 78 = 156
LCM(18,26,312) = ( 18 × 26 × 312 ) / 156
LCM(18,26,312) = 146016 / 156
LCM(18,26,312) = 936
∴ Least Common Multiple of 18,26,312 is 936
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 18, 26, 312
1. What is the LCM of 18, 26, 312?
Answer: LCM of 18, 26, 312 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 18, 26, 312 ?
Least Common Multiple of 18, 26, 312.
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(18, 26, 312) = 2 x 2 x 2 x 3 x 3 x 13 = 936.