Least Common Multiple of 488, 342, 456

Q: How to Find the LCM of 488, 342, 456 ?

Least Common Multiple of 488, 342, 456 = 83448 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(488, 342, 456) = 2 x 2 x 2 x 3 x 3 x 19 x 61 = 83448.

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 488, 342, 456 i.e. 83448 smallest integer divisible by all numbers.

Least common multiple (LCM) of 488, 342, 456 is 83448.

LCM(488, 342, 456) = 83448

LCM of 488, 342, 456

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

Least Common Multiple of 488, 342, 456 by common division method
Least Common Multiple of 488, 342, 456 with GCF Formula

Least Common Multiple of 488,342,456

Least Common Multiple (LCM) of 488,342,456 is 83448

2	488, 342, 456
2	244, 171, 228
2	122, 171, 114
3	61, 171, 57
19	61, 19, 57
	61, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 61 x 1 x 3 = 83448

Least Common Multiple of 488,342,456 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 488,342,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,342,456) = 2

common factors(in case of two or more numbers have common factors) = 456

GCF(488,342,456) x common factors =2 x 456 = 912

LCM(488,342,456) = ( 488 × 342 × 456 ) / 912

LCM(488,342,456) = 76104576 / 912

LCM(488,342,456) = 83448

∴ Least Common Multiple of 488,342,456 is 83448

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 488, 342, 456

1. What is the LCM of 488, 342, 456?

Answer: LCM of 488, 342, 456 is 83448.

2. What are the Factors of 83448?

Answer: Factors of 83448 are . There are integers that are factors of 83448

3. How to Find the LCM of 488, 342, 456 ?

Least Common Multiple of 488, 342, 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(488, 342, 456) = 2 x 2 x 2 x 3 x 3 x 19 x 61 = 83448.