Least Common Multiple of 428, 672, 196, 214, 410

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 428, 672, 196, 214, 410 i.e. 103182240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 428, 672, 196, 214, 410 is 103182240.

LCM(428, 672, 196, 214, 410) = 103182240

LCM of 428, 672, 196, 214, 410

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

LCM of:

Least Common Multiple of 428,672,196,214,410

Least Common Multiple (LCM) of 428,672,196,214,410 is 103182240

2 428, 672, 196, 214, 410
2 214, 336, 98, 107, 205
7 107, 168, 49, 107, 205
107 107, 24, 7, 107, 205
1, 24, 7, 1, 205

∴ So the LCM of the given numbers is 2 x 2 x 7 x 107 x 1 x 24 x 7 x 1 x 205 = 103182240

Least Common Multiple of 428,672,196,214,410 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 428,672,196,214,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,672,196,214,410) = 2

common factors(in case of two or more numbers have common factors) = 23968

GCF(428,672,196,214,410) x common factors =2 x 23968 = 47936

LCM(428,672,196,214,410) = ( 428 × 672 × 196 × 214 × 410 ) / 47936

LCM(428,672,196,214,410) = 4946143856640 / 47936

LCM(428,672,196,214,410) = 103182240

∴ Least Common Multiple of 428,672,196,214,410 is 103182240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 428, 672, 196, 214, 410

1. What is the LCM of 428, 672, 196, 214, 410?

Answer: LCM of 428, 672, 196, 214, 410 is 103182240.

2. What are the Factors of 103182240?

Answer: Factors of 103182240 are . There are integers that are factors of 103182240

3. How to Find the LCM of 428, 672, 196, 214, 410 ?

Least Common Multiple of 428, 672, 196, 214, 410.

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(428, 672, 196, 214, 410) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 41 x 107 = 103182240.