Least Common Multiple of 65/57, 26/14, 67/52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/57, 26/14, 67/52 quickly i.e. 8710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/57, 26/14, 67/52 is 8710.

LCM(65/57, 26/14, 67/52) = 8710

LCM of 65/57, 26/14, 67/52

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 65/57,26/14,67/52

Given numbers are 65/57,26/14,67/52

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 65,26,67

Least Common Multiple of Numerators i.e. LCM of 65,26,67 is 8710.

GCF of Denominators means GCF of 57,14,52 as per the given fractions.

GCF of 57,14,52 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,26,67

LCM of Fractions 65/57,26/14,67/52 is 8710

13 65, 26, 67
5, 2, 67

∴ So the LCM of the given numbers is 13 x 5 x 2 x 67 = 8710

Least Common Multiple of 65,26,67 with GCF Formula

Least Common Multiple of 65,26,67 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 65,26,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,26,67) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(65,26,67) x common factors =1 x 13 = 13

LCM(65,26,67) = ( 65 × 26 × 67 ) / 13

LCM(65,26,67) = 113230 / 13

LCM(65,26,67) = 8710


Lets's calculate GCF of 57,14,52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8710/1

Therefore the LCM of Fractions 65/57,26/14,67/52 is 8710

Greatest Common Factor of 57,14,52 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,14,52 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Greatest Common Factor

We found the factors 57,14,52 . The biggest common factor number is the GCF number.
So the greatest common factor 57,14,52 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 65/57, 26/14, 67/52

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 65/57, 26/14, 67/52?

Answer: LCM of Numerators as per given numbers 65/57, 26/14, 67/52 is

LCM of Numerators i.e. for 65,26,67 is 8710

GCF of denominators i.e. for 57,14,52 is 1.

Thus, LCM of Fractions is 8710.Finally, LCM of Fractions for 65/57, 26/14, 67/52 is 8710.