Least Common Multiple of 192, 312, 456

Q: How to Find the LCM of 192, 312, 456 ?

Least Common Multiple of 192, 312, 456 = 47424 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(192, 312, 456) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 19 = 47424.

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 192, 312, 456 i.e. 47424 smallest integer divisible by all numbers.

Least common multiple (LCM) of 192, 312, 456 is 47424.

LCM(192, 312, 456) = 47424

LCM of 192, 312, 456

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

Least Common Multiple of 192, 312, 456 by common division method
Least Common Multiple of 192, 312, 456 with GCF Formula

Least Common Multiple of 192,312,456

Least Common Multiple (LCM) of 192,312,456 is 47424

2	192, 312, 456
2	96, 156, 228
2	48, 78, 114
3	24, 39, 57
	8, 13, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 8 x 13 x 19 = 47424

Least Common Multiple of 192,312,456 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 192,312,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,312,456) = 24

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

GCF(192,312,456) x common factors =24 x 24 = 576

LCM(192,312,456) = ( 192 × 312 × 456 ) / 576

LCM(192,312,456) = 27316224 / 576

LCM(192,312,456) = 47424

∴ Least Common Multiple of 192,312,456 is 47424

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 192, 312, 456

1. What is the LCM of 192, 312, 456?

Answer: LCM of 192, 312, 456 is 47424.

2. What are the Factors of 47424?

Answer: Factors of 47424 are . There are integers that are factors of 47424

3. How to Find the LCM of 192, 312, 456 ?

Least Common Multiple of 192, 312, 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(192, 312, 456) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 19 = 47424.