Least Common Multiple of 344, 856, 688

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 344, 856, 688 i.e. 73616 smallest integer divisible by all numbers.

Least common multiple (LCM) of 344, 856, 688 is 73616.

LCM(344, 856, 688) = 73616

LCM of 344, 856, 688

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

LCM of:

Least Common Multiple of 344,856,688

Least Common Multiple (LCM) of 344,856,688 is 73616

2 344, 856, 688
2 172, 428, 344
2 86, 214, 172
43 43, 107, 86
1, 107, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 1 x 107 x 2 = 73616

Least Common Multiple of 344,856,688 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 344,856,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,856,688) = 8

common factors(in case of two or more numbers have common factors) = 344

GCF(344,856,688) x common factors =8 x 344 = 2752

LCM(344,856,688) = ( 344 × 856 × 688 ) / 2752

LCM(344,856,688) = 202591232 / 2752

LCM(344,856,688) = 73616

∴ Least Common Multiple of 344,856,688 is 73616

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 344, 856, 688

1. What is the LCM of 344, 856, 688?

Answer: LCM of 344, 856, 688 is 73616.

2. What are the Factors of 73616?

Answer: Factors of 73616 are . There are integers that are factors of 73616

3. How to Find the LCM of 344, 856, 688 ?

Least Common Multiple of 344, 856, 688.

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(344, 856, 688) = 2 x 2 x 2 x 2 x 43 x 107 = 73616.