Least Common Multiple of 900, 506, 754

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 900, 506, 754 i.e. 85842900 smallest integer divisible by all numbers.

Least common multiple (LCM) of 900, 506, 754 is 85842900.

LCM(900, 506, 754) = 85842900

LCM of 900, 506, 754

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

LCM of:

Least Common Multiple of 900,506,754

Least Common Multiple (LCM) of 900,506,754 is 85842900

2 900, 506, 754
450, 253, 377

∴ So the LCM of the given numbers is 2 x 450 x 253 x 377 = 85842900

Least Common Multiple of 900,506,754 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 900,506,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,506,754) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(900,506,754) x common factors =2 x 2 = 4

LCM(900,506,754) = ( 900 × 506 × 754 ) / 4

LCM(900,506,754) = 343371600 / 4

LCM(900,506,754) = 85842900

∴ Least Common Multiple of 900,506,754 is 85842900

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 900, 506, 754

1. What is the LCM of 900, 506, 754?

Answer: LCM of 900, 506, 754 is 85842900.

2. What are the Factors of 85842900?

Answer: Factors of 85842900 are . There are integers that are factors of 85842900

3. How to Find the LCM of 900, 506, 754 ?

Least Common Multiple of 900, 506, 754.

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(900, 506, 754) = 2 x 2 x 3 x 3 x 5 x 5 x 11 x 13 x 23 x 29 = 85842900.