Least Common Multiple of 260/565, 278/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/565, 278/629 quickly i.e. 36140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/565, 278/629 is 36140.

LCM(260/565, 278/629) = 36140

LCM of 260/565, 278/629

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 260/565,278/629

Given numbers are 260/565,278/629

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 260,278

Least Common Multiple of Numerators i.e. LCM of 260,278 is 36140.

GCF of Denominators means GCF of 565,629 as per the given fractions.

GCF of 565,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,278

LCM of Fractions 260/565,278/629 is 36140

2 260, 278
130, 139

∴ So the LCM of the given numbers is 2 x 130 x 139 = 36140

Least Common Multiple of 260,278 with GCF Formula

Least Common Multiple of 260,278 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 260,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,278) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(260,278) x common factors =2 x 1 = 2

LCM(260,278) = ( 260 × 278 ) / 2

LCM(260,278) = 72280 / 2

LCM(260,278) = 36140


Lets's calculate GCF of 565,629

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36140/1

Therefore the LCM of Fractions 260/565,278/629 is 36140

Greatest Common Factor of 565,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,629 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 565,629 . The biggest common factor number is the GCF number.
So the greatest common factor 565,629 is 1.


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 260/565, 278/629

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 260/565, 278/629?

Answer: LCM of Numerators as per given numbers 260/565, 278/629 is

LCM of Numerators i.e. for 260,278 is 36140

GCF of denominators i.e. for 565,629 is 1.

Thus, LCM of Fractions is 36140.Finally, LCM of Fractions for 260/565, 278/629 is 36140.