Least Common Multiple of 75, 42, 77, 858

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 75, 42, 77, 858 i.e. 150150 smallest integer divisible by all numbers.

Least common multiple (LCM) of 75, 42, 77, 858 is 150150.

LCM(75, 42, 77, 858) = 150150

LCM of 75, 42, 77, 858

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

LCM of:

Least Common Multiple of 75,42,77,858

Least Common Multiple (LCM) of 75,42,77,858 is 150150

2 75, 42, 77, 858
3 75, 21, 77, 429
7 25, 7, 77, 143
11 25, 1, 11, 143
25, 1, 1, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 25 x 1 x 1 x 13 = 150150

Least Common Multiple of 75,42,77,858 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 75,42,77,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,42,77,858) = 1

common factors(in case of two or more numbers have common factors) = 1386

GCF(75,42,77,858) x common factors =1 x 1386 = 1386

LCM(75,42,77,858) = ( 75 × 42 × 77 × 858 ) / 1386

LCM(75,42,77,858) = 208107900 / 1386

LCM(75,42,77,858) = 150150

∴ Least Common Multiple of 75,42,77,858 is 150150

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 75, 42, 77, 858

1. What is the LCM of 75, 42, 77, 858?

Answer: LCM of 75, 42, 77, 858 is 150150.

2. What are the Factors of 150150?

Answer: Factors of 150150 are . There are integers that are factors of 150150

3. How to Find the LCM of 75, 42, 77, 858 ?

Least Common Multiple of 75, 42, 77, 858.

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(75, 42, 77, 858) = 2 x 3 x 5 x 5 x 7 x 11 x 13 = 150150.