Least Common Multiple of 342, 228, 256

Q: How to Find the LCM of 342, 228, 256 ?

Least Common Multiple of 342, 228, 256 = 43776 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(342, 228, 256) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 = 43776.

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 342, 228, 256 i.e. 43776 smallest integer divisible by all numbers.

Least common multiple (LCM) of 342, 228, 256 is 43776.

LCM(342, 228, 256) = 43776

LCM of 342, 228, 256

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

Least Common Multiple of 342, 228, 256 by common division method
Least Common Multiple of 342, 228, 256 with GCF Formula

Least Common Multiple of 342,228,256

Least Common Multiple (LCM) of 342,228,256 is 43776

2	342, 228, 256
2	171, 114, 128
3	171, 57, 64
19	19, 57, 64
	1, 3, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 3 x 64 = 43776

Least Common Multiple of 342,228,256 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 342,228,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,228,256) = 2

common factors(in case of two or more numbers have common factors) = 228

GCF(342,228,256) x common factors =2 x 228 = 456

LCM(342,228,256) = ( 342 × 228 × 256 ) / 456

LCM(342,228,256) = 19961856 / 456

LCM(342,228,256) = 43776

∴ Least Common Multiple of 342,228,256 is 43776

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 342, 228, 256

1. What is the LCM of 342, 228, 256?

Answer: LCM of 342, 228, 256 is 43776.

2. What are the Factors of 43776?

Answer: Factors of 43776 are . There are integers that are factors of 43776

3. How to Find the LCM of 342, 228, 256 ?

Least Common Multiple of 342, 228, 256.

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(342, 228, 256) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 = 43776.