Least Common Multiple of 260, 500, 550

Q: How to Find the LCM of 260, 500, 550 ?

Least Common Multiple of 260, 500, 550 = 71500 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(260, 500, 550) = 2 x 2 x 5 x 5 x 5 x 11 x 13 = 71500.

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 260, 500, 550 i.e. 71500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 260, 500, 550 is 71500.

LCM(260, 500, 550) = 71500

LCM of 260, 500, 550

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

Least Common Multiple of 260, 500, 550 by common division method
Least Common Multiple of 260, 500, 550 with GCF Formula

Least Common Multiple of 260,500,550

Least Common Multiple (LCM) of 260,500,550 is 71500

2	260, 500, 550
2	130, 250, 275
5	65, 125, 275
5	13, 25, 55
	13, 5, 11

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 13 x 5 x 11 = 71500

Least Common Multiple of 260,500,550 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 260,500,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,500,550) = 10

common factors(in case of two or more numbers have common factors) = 100

GCF(260,500,550) x common factors =10 x 100 = 1000

LCM(260,500,550) = ( 260 × 500 × 550 ) / 1000

LCM(260,500,550) = 71500000 / 1000

LCM(260,500,550) = 71500

∴ Least Common Multiple of 260,500,550 is 71500

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 260, 500, 550

1. What is the LCM of 260, 500, 550?

Answer: LCM of 260, 500, 550 is 71500.

2. What are the Factors of 71500?

Answer: Factors of 71500 are . There are integers that are factors of 71500

3. How to Find the LCM of 260, 500, 550 ?

Least Common Multiple of 260, 500, 550.

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(260, 500, 550) = 2 x 2 x 5 x 5 x 5 x 11 x 13 = 71500.