Least Common Multiple of 309, 464, 870

Q: How to Find the LCM of 309, 464, 870 ?

Least Common Multiple of 309, 464, 870 = 716880 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(309, 464, 870) = 2 x 2 x 2 x 2 x 3 x 5 x 29 x 103 = 716880.

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 309, 464, 870 i.e. 716880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 309, 464, 870 is 716880.

LCM(309, 464, 870) = 716880

LCM of 309, 464, 870

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

Least Common Multiple of 309, 464, 870 by common division method
Least Common Multiple of 309, 464, 870 with GCF Formula

Least Common Multiple of 309,464,870

Least Common Multiple (LCM) of 309,464,870 is 716880

2	309, 464, 870
3	309, 232, 435
29	103, 232, 145
	103, 8, 5

∴ So the LCM of the given numbers is 2 x 3 x 29 x 103 x 8 x 5 = 716880

Least Common Multiple of 309,464,870 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 309,464,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,464,870) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(309,464,870) x common factors =1 x 174 = 174

LCM(309,464,870) = ( 309 × 464 × 870 ) / 174

LCM(309,464,870) = 124737120 / 174

LCM(309,464,870) = 716880

∴ Least Common Multiple of 309,464,870 is 716880

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 309, 464, 870

1. What is the LCM of 309, 464, 870?

Answer: LCM of 309, 464, 870 is 716880.

2. What are the Factors of 716880?

Answer: Factors of 716880 are . There are integers that are factors of 716880

3. How to Find the LCM of 309, 464, 870 ?

Least Common Multiple of 309, 464, 870.

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(309, 464, 870) = 2 x 2 x 2 x 2 x 3 x 5 x 29 x 103 = 716880.