Least Common Multiple of 26, 56, 49, 72

Q: How to Find the LCM of 26, 56, 49, 72 ?

Least Common Multiple of 26, 56, 49, 72 = 45864 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(26, 56, 49, 72) = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 = 45864.

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 26, 56, 49, 72 i.e. 45864 smallest integer divisible by all numbers.

Least common multiple (LCM) of 26, 56, 49, 72 is 45864.

LCM(26, 56, 49, 72) = 45864

LCM of 26, 56, 49, 72

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

Least Common Multiple of 26, 56, 49, 72 by common division method
Least Common Multiple of 26, 56, 49, 72 with GCF Formula

Least Common Multiple of 26,56,49,72

Least Common Multiple (LCM) of 26,56,49,72 is 45864

2	26, 56, 49, 72
2	13, 28, 49, 36
2	13, 14, 49, 18
7	13, 7, 49, 9
	13, 1, 7, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 13 x 1 x 7 x 9 = 45864

Least Common Multiple of 26,56,49,72 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 26,56,49,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,56,49,72) = 1

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

GCF(26,56,49,72) x common factors =1 x 112 = 112

LCM(26,56,49,72) = ( 26 × 56 × 49 × 72 ) / 112

LCM(26,56,49,72) = 5136768 / 112

LCM(26,56,49,72) = 45864

∴ Least Common Multiple of 26,56,49,72 is 45864

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 26, 56, 49, 72

1. What is the LCM of 26, 56, 49, 72?

Answer: LCM of 26, 56, 49, 72 is 45864.

2. What are the Factors of 45864?

Answer: Factors of 45864 are . There are integers that are factors of 45864

3. How to Find the LCM of 26, 56, 49, 72 ?

Least Common Multiple of 26, 56, 49, 72.

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(26, 56, 49, 72) = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 = 45864.