Least Common Multiple of 26/520, 40/575, 651/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/520, 40/575, 651/220 quickly i.e. 67704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/520, 40/575, 651/220 is 67704.

LCM(26/520, 40/575, 651/220) = 67704

LCM of 26/520, 40/575, 651/220

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 26/520,40/575,651/220

Given numbers are 26/520,40/575,651/220

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 26,40,651

Least Common Multiple of Numerators i.e. LCM of 26,40,651 is 338520.

GCF of Denominators means GCF of 520,575,220 as per the given fractions.

GCF of 520,575,220 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,40,651

LCM of Fractions 26/520,40/575,651/220 is 67704

2 26, 40, 651
13, 20, 651

∴ So the LCM of the given numbers is 2 x 13 x 20 x 651 = 338520

Least Common Multiple of 26,40,651 with GCF Formula

Least Common Multiple of 26,40,651 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 26,40,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,40,651) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,40,651) x common factors =1 x 2 = 2

LCM(26,40,651) = ( 26 × 40 × 651 ) / 2

LCM(26,40,651) = 677040 / 2

LCM(26,40,651) = 338520


Lets's calculate GCF of 520,575,220

5 520, 575, 220
104, 115, 44

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338520/5

Therefore the LCM of Fractions 26/520,40/575,651/220 is 67704

Greatest Common Factor of 520,575,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,575,220 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 520,575,220 . The biggest common factor number is the GCF number.
So the greatest common factor 520,575,220 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 26/520, 40/575, 651/220

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 26/520, 40/575, 651/220?

Answer: LCM of Numerators as per given numbers 26/520, 40/575, 651/220 is

LCM of Numerators i.e. for 26,40,651 is 338520

GCF of denominators i.e. for 520,575,220 is 5.

Thus, LCM of Fractions is 67704.Finally, LCM of Fractions for 26/520, 40/575, 651/220 is 67704.