Least Common Multiple of 12, 74, 13, 34, 868

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 12, 74, 13, 34, 868 i.e. 21292908 smallest integer divisible by all numbers.

Least common multiple (LCM) of 12, 74, 13, 34, 868 is 21292908.

LCM(12, 74, 13, 34, 868) = 21292908

LCM of 12, 74, 13, 34, 868

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

LCM of:

Least Common Multiple of 12,74,13,34,868

Least Common Multiple (LCM) of 12,74,13,34,868 is 21292908

2 12, 74, 13, 34, 868
2 6, 37, 13, 17, 434
3, 37, 13, 17, 217

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 13 x 17 x 217 = 21292908

Least Common Multiple of 12,74,13,34,868 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 12,74,13,34,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,74,13,34,868) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(12,74,13,34,868) x common factors =1 x 16 = 16

LCM(12,74,13,34,868) = ( 12 × 74 × 13 × 34 × 868 ) / 16

LCM(12,74,13,34,868) = 340686528 / 16

LCM(12,74,13,34,868) = 21292908

∴ Least Common Multiple of 12,74,13,34,868 is 21292908

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 12, 74, 13, 34, 868

1. What is the LCM of 12, 74, 13, 34, 868?

Answer: LCM of 12, 74, 13, 34, 868 is 21292908.

2. What are the Factors of 21292908?

Answer: Factors of 21292908 are . There are integers that are factors of 21292908

3. How to Find the LCM of 12, 74, 13, 34, 868 ?

Least Common Multiple of 12, 74, 13, 34, 868.

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(12, 74, 13, 34, 868) = 2 x 2 x 3 x 7 x 13 x 17 x 31 x 37 = 21292908.