Least Common Multiple of 422, 413, 385, 506, 705

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 422, 413, 385, 506, 705 i.e. 31086522390 smallest integer divisible by all numbers.

Least common multiple (LCM) of 422, 413, 385, 506, 705 is 31086522390.

LCM(422, 413, 385, 506, 705) = 31086522390

LCM of 422, 413, 385, 506, 705

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

LCM of:

Least Common Multiple of 422,413,385,506,705

Least Common Multiple (LCM) of 422,413,385,506,705 is 31086522390

2 422, 413, 385, 506, 705
5 211, 413, 385, 253, 705
7 211, 413, 77, 253, 141
11 211, 59, 11, 253, 141
211, 59, 1, 23, 141

∴ So the LCM of the given numbers is 2 x 5 x 7 x 11 x 211 x 59 x 1 x 23 x 141 = 31086522390

Least Common Multiple of 422,413,385,506,705 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 422,413,385,506,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,413,385,506,705) = 1

common factors(in case of two or more numbers have common factors) = 770

GCF(422,413,385,506,705) x common factors =1 x 770 = 770

LCM(422,413,385,506,705) = ( 422 × 413 × 385 × 506 × 705 ) / 770

LCM(422,413,385,506,705) = 23936622240300 / 770

LCM(422,413,385,506,705) = 31086522390

∴ Least Common Multiple of 422,413,385,506,705 is 31086522390

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 422, 413, 385, 506, 705

1. What is the LCM of 422, 413, 385, 506, 705?

Answer: LCM of 422, 413, 385, 506, 705 is 31086522390.

2. What are the Factors of 31086522390?

Answer: Factors of 31086522390 are . There are integers that are factors of 31086522390

3. How to Find the LCM of 422, 413, 385, 506, 705 ?

Least Common Multiple of 422, 413, 385, 506, 705.

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(422, 413, 385, 506, 705) = 2 x 3 x 5 x 7 x 11 x 23 x 47 x 59 x 211 = 31086522390.