Least Common Multiple of 22, 31, 56, 496

Q: How to Find the LCM of 22, 31, 56, 496 ?

Least Common Multiple of 22, 31, 56, 496 = 38192 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(22, 31, 56, 496) = 2 x 2 x 2 x 2 x 7 x 11 x 31 = 38192.

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 22, 31, 56, 496 i.e. 38192 smallest integer divisible by all numbers.

Least common multiple (LCM) of 22, 31, 56, 496 is 38192.

LCM(22, 31, 56, 496) = 38192

LCM of 22, 31, 56, 496

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

Least Common Multiple of 22, 31, 56, 496 by common division method
Least Common Multiple of 22, 31, 56, 496 with GCF Formula

Least Common Multiple of 22,31,56,496

Least Common Multiple (LCM) of 22,31,56,496 is 38192

2	22, 31, 56, 496
2	11, 31, 28, 248
2	11, 31, 14, 124
31	11, 31, 7, 62
	11, 1, 7, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 11 x 1 x 7 x 2 = 38192

Least Common Multiple of 22,31,56,496 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 22,31,56,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,31,56,496) = 1

common factors(in case of two or more numbers have common factors) = 496

GCF(22,31,56,496) x common factors =1 x 496 = 496

LCM(22,31,56,496) = ( 22 × 31 × 56 × 496 ) / 496

LCM(22,31,56,496) = 18943232 / 496

LCM(22,31,56,496) = 38192

∴ Least Common Multiple of 22,31,56,496 is 38192

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 22, 31, 56, 496

1. What is the LCM of 22, 31, 56, 496?

Answer: LCM of 22, 31, 56, 496 is 38192.

2. What are the Factors of 38192?

Answer: Factors of 38192 are . There are integers that are factors of 38192

3. How to Find the LCM of 22, 31, 56, 496 ?

Least Common Multiple of 22, 31, 56, 496.

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(22, 31, 56, 496) = 2 x 2 x 2 x 2 x 7 x 11 x 31 = 38192.