Least Common Multiple of 402, 120, 456

Q: How to Find the LCM of 402, 120, 456 ?

Least Common Multiple of 402, 120, 456 = 152760 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(402, 120, 456) = 2 x 2 x 2 x 3 x 5 x 19 x 67 = 152760.

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 402, 120, 456 i.e. 152760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 402, 120, 456 is 152760.

LCM(402, 120, 456) = 152760

LCM of 402, 120, 456

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

Least Common Multiple of 402, 120, 456 by common division method
Least Common Multiple of 402, 120, 456 with GCF Formula

Least Common Multiple of 402,120,456

Least Common Multiple (LCM) of 402,120,456 is 152760

2	402, 120, 456
2	201, 60, 228
2	201, 30, 114
3	201, 15, 57
	67, 5, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 67 x 5 x 19 = 152760

Least Common Multiple of 402,120,456 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 402,120,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,120,456) = 6

common factors(in case of two or more numbers have common factors) = 24

GCF(402,120,456) x common factors =6 x 24 = 144

LCM(402,120,456) = ( 402 × 120 × 456 ) / 144

LCM(402,120,456) = 21997440 / 144

LCM(402,120,456) = 152760

∴ Least Common Multiple of 402,120,456 is 152760

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 402, 120, 456

1. What is the LCM of 402, 120, 456?

Answer: LCM of 402, 120, 456 is 152760.

2. What are the Factors of 152760?

Answer: Factors of 152760 are . There are integers that are factors of 152760

3. How to Find the LCM of 402, 120, 456 ?

Least Common Multiple of 402, 120, 456.

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(402, 120, 456) = 2 x 2 x 2 x 3 x 5 x 19 x 67 = 152760.