Least Common Multiple of 112, 320, 462

Q: How to Find the LCM of 112, 320, 462 ?

Least Common Multiple of 112, 320, 462 = 73920 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(112, 320, 462) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 = 73920.

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 112, 320, 462 i.e. 73920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 112, 320, 462 is 73920.

LCM(112, 320, 462) = 73920

LCM of 112, 320, 462

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

Least Common Multiple of 112, 320, 462 by common division method
Least Common Multiple of 112, 320, 462 with GCF Formula

Least Common Multiple of 112,320,462

Least Common Multiple (LCM) of 112,320,462 is 73920

2	112, 320, 462
2	56, 160, 231
2	28, 80, 231
2	14, 40, 231
7	7, 20, 231
	1, 20, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 1 x 20 x 33 = 73920

Least Common Multiple of 112,320,462 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 112,320,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,320,462) = 2

common factors(in case of two or more numbers have common factors) = 112

GCF(112,320,462) x common factors =2 x 112 = 224

LCM(112,320,462) = ( 112 × 320 × 462 ) / 224

LCM(112,320,462) = 16558080 / 224

LCM(112,320,462) = 73920

∴ Least Common Multiple of 112,320,462 is 73920

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 112, 320, 462

1. What is the LCM of 112, 320, 462?

Answer: LCM of 112, 320, 462 is 73920.

2. What are the Factors of 73920?

Answer: Factors of 73920 are . There are integers that are factors of 73920

3. How to Find the LCM of 112, 320, 462 ?

Least Common Multiple of 112, 320, 462.

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(112, 320, 462) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 = 73920.