Least Common Multiple of 26, 49, 78, 364

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 26, 49, 78, 364 i.e. 7644 smallest integer divisible by all numbers.

Least common multiple (LCM) of 26, 49, 78, 364 is 7644.

LCM(26, 49, 78, 364) = 7644

LCM of 26, 49, 78, 364

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 26,49,78,364

Least Common Multiple (LCM) of 26,49,78,364 is 7644

2 26, 49, 78, 364
7 13, 49, 39, 182
13 13, 7, 39, 26
1, 7, 3, 2

∴ So the LCM of the given numbers is 2 x 7 x 13 x 1 x 7 x 3 x 2 = 7644

Least Common Multiple of 26,49,78,364 with GCF Formula

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 26,49,78,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,49,78,364) = 1

common factors(in case of two or more numbers have common factors) = 4732

GCF(26,49,78,364) x common factors =1 x 4732 = 4732

LCM(26,49,78,364) = ( 26 × 49 × 78 × 364 ) / 4732

LCM(26,49,78,364) = 36171408 / 4732

LCM(26,49,78,364) = 7644

∴ Least Common Multiple of 26,49,78,364 is 7644

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 26, 49, 78, 364

1. What is the LCM of 26, 49, 78, 364?

Answer: LCM of 26, 49, 78, 364 is 7644.

2. What are the Factors of 7644?

Answer: Factors of 7644 are . There are integers that are factors of 7644

3. How to Find the LCM of 26, 49, 78, 364 ?

Least Common Multiple of 26, 49, 78, 364.

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(26, 49, 78, 364) = 2 x 2 x 3 x 7 x 7 x 13 = 7644.