Least Common Multiple of 506, 705, 940

Q: How to Find the LCM of 506, 705, 940 ?

Least Common Multiple of 506, 705, 940 = 713460 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(506, 705, 940) = 2 x 2 x 3 x 5 x 11 x 23 x 47 = 713460.

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 506, 705, 940 i.e. 713460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 506, 705, 940 is 713460.

LCM(506, 705, 940) = 713460

LCM of 506, 705, 940

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

Least Common Multiple of 506, 705, 940 by common division method
Least Common Multiple of 506, 705, 940 with GCF Formula

Least Common Multiple of 506,705,940

Least Common Multiple (LCM) of 506,705,940 is 713460

2	506, 705, 940
5	253, 705, 470
47	253, 141, 94
	253, 3, 2

∴ So the LCM of the given numbers is 2 x 5 x 47 x 253 x 3 x 2 = 713460

Least Common Multiple of 506,705,940 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 506,705,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,705,940) = 1

common factors(in case of two or more numbers have common factors) = 470

GCF(506,705,940) x common factors =1 x 470 = 470

LCM(506,705,940) = ( 506 × 705 × 940 ) / 470

LCM(506,705,940) = 335326200 / 470

LCM(506,705,940) = 713460

∴ Least Common Multiple of 506,705,940 is 713460

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 506, 705, 940

1. What is the LCM of 506, 705, 940?

Answer: LCM of 506, 705, 940 is 713460.

2. What are the Factors of 713460?

Answer: Factors of 713460 are . There are integers that are factors of 713460

3. How to Find the LCM of 506, 705, 940 ?

Least Common Multiple of 506, 705, 940.

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(506, 705, 940) = 2 x 2 x 3 x 5 x 11 x 23 x 47 = 713460.