Least Common Multiple of 969, 112, 493

Q: How to Find the LCM of 969, 112, 493 ?

Least Common Multiple of 969, 112, 493 = 3147312 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(969, 112, 493) = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 19 x 29 = 3147312.

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 969, 112, 493 i.e. 3147312 smallest integer divisible by all numbers.

Least common multiple (LCM) of 969, 112, 493 is 3147312.

LCM(969, 112, 493) = 3147312

LCM of 969, 112, 493

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

Least Common Multiple of 969, 112, 493 by common division method
Least Common Multiple of 969, 112, 493 with GCF Formula

Least Common Multiple of 969,112,493

Least Common Multiple (LCM) of 969,112,493 is 3147312

17	969, 112, 493
	57, 112, 29

∴ So the LCM of the given numbers is 17 x 57 x 112 x 29 = 3147312

Least Common Multiple of 969,112,493 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 969,112,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,112,493) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(969,112,493) x common factors =1 x 17 = 17

LCM(969,112,493) = ( 969 × 112 × 493 ) / 17

LCM(969,112,493) = 53504304 / 17

LCM(969,112,493) = 3147312

∴ Least Common Multiple of 969,112,493 is 3147312

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 969, 112, 493

1. What is the LCM of 969, 112, 493?

Answer: LCM of 969, 112, 493 is 3147312.

2. What are the Factors of 3147312?

Answer: Factors of 3147312 are . There are integers that are factors of 3147312

3. How to Find the LCM of 969, 112, 493 ?

Least Common Multiple of 969, 112, 493.

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(969, 112, 493) = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 19 x 29 = 3147312.