Least Common Multiple of 900, 210, 928

Q: How to Find the LCM of 900, 210, 928 ?

Least Common Multiple of 900, 210, 928 = 1461600 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, 210, 928) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 29 = 1461600.

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, 210, 928 i.e. 1461600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 900, 210, 928 is 1461600.

LCM(900, 210, 928) = 1461600

LCM of 900, 210, 928

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

Least Common Multiple of 900, 210, 928 by common division method
Least Common Multiple of 900, 210, 928 with GCF Formula

Least Common Multiple of 900,210,928

Least Common Multiple (LCM) of 900,210,928 is 1461600

2	900, 210, 928
2	450, 105, 464
3	225, 105, 232
5	75, 35, 232
	15, 7, 232

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 15 x 7 x 232 = 1461600

Least Common Multiple of 900,210,928 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 900,210,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,210,928) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(900,210,928) x common factors =2 x 60 = 120

LCM(900,210,928) = ( 900 × 210 × 928 ) / 120

LCM(900,210,928) = 175392000 / 120

LCM(900,210,928) = 1461600

∴ Least Common Multiple of 900,210,928 is 1461600

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 900, 210, 928

1. What is the LCM of 900, 210, 928?

Answer: LCM of 900, 210, 928 is 1461600.

2. What are the Factors of 1461600?

Answer: Factors of 1461600 are . There are integers that are factors of 1461600

3. How to Find the LCM of 900, 210, 928 ?

Least Common Multiple of 900, 210, 928.

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, 210, 928) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 29 = 1461600.