Least Common Multiple of 820, 412, 574

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 820, 412, 574 i.e. 591220 smallest integer divisible by all numbers.

Least common multiple (LCM) of 820, 412, 574 is 591220.

LCM(820, 412, 574) = 591220

LCM of 820, 412, 574

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

LCM of:

Least Common Multiple of 820,412,574

Least Common Multiple (LCM) of 820,412,574 is 591220

2 820, 412, 574
2 410, 206, 287
41 205, 103, 287
5, 103, 7

∴ So the LCM of the given numbers is 2 x 2 x 41 x 5 x 103 x 7 = 591220

Least Common Multiple of 820,412,574 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 820,412,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,412,574) = 2

common factors(in case of two or more numbers have common factors) = 164

GCF(820,412,574) x common factors =2 x 164 = 328

LCM(820,412,574) = ( 820 × 412 × 574 ) / 328

LCM(820,412,574) = 193920160 / 328

LCM(820,412,574) = 591220

∴ Least Common Multiple of 820,412,574 is 591220

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 820, 412, 574

1. What is the LCM of 820, 412, 574?

Answer: LCM of 820, 412, 574 is 591220.

2. What are the Factors of 591220?

Answer: Factors of 591220 are . There are integers that are factors of 591220

3. How to Find the LCM of 820, 412, 574 ?

Least Common Multiple of 820, 412, 574.

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(820, 412, 574) = 2 x 2 x 5 x 7 x 41 x 103 = 591220.