Least Common Multiple of 312, 975, 882

Q: How to Find the LCM of 312, 975, 882 ?

Least Common Multiple of 312, 975, 882 = 1146600 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(312, 975, 882) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 13 = 1146600.

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 312, 975, 882 i.e. 1146600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 312, 975, 882 is 1146600.

LCM(312, 975, 882) = 1146600

LCM of 312, 975, 882

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

Least Common Multiple of 312, 975, 882 by common division method
Least Common Multiple of 312, 975, 882 with GCF Formula

Least Common Multiple of 312,975,882

Least Common Multiple (LCM) of 312,975,882 is 1146600

2	312, 975, 882
3	156, 975, 441
13	52, 325, 147
	4, 25, 147

∴ So the LCM of the given numbers is 2 x 3 x 13 x 4 x 25 x 147 = 1146600

Least Common Multiple of 312,975,882 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 312,975,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,975,882) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(312,975,882) x common factors =3 x 78 = 234

LCM(312,975,882) = ( 312 × 975 × 882 ) / 234

LCM(312,975,882) = 268304400 / 234

LCM(312,975,882) = 1146600

∴ Least Common Multiple of 312,975,882 is 1146600

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 312, 975, 882

1. What is the LCM of 312, 975, 882?

Answer: LCM of 312, 975, 882 is 1146600.

2. What are the Factors of 1146600?

Answer: Factors of 1146600 are . There are integers that are factors of 1146600

3. How to Find the LCM of 312, 975, 882 ?

Least Common Multiple of 312, 975, 882.

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(312, 975, 882) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 7 x 13 = 1146600.