Least Common Multiple of 275/78, 356/65, 782/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/78, 356/65, 782/60 quickly i.e. 38278900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/78, 356/65, 782/60 is 38278900.

LCM(275/78, 356/65, 782/60) = 38278900

LCM of 275/78, 356/65, 782/60

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 275/78,356/65,782/60

Given numbers are 275/78,356/65,782/60

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 275,356,782

Least Common Multiple of Numerators i.e. LCM of 275,356,782 is 38278900.

GCF of Denominators means GCF of 78,65,60 as per the given fractions.

GCF of 78,65,60 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,356,782

LCM of Fractions 275/78,356/65,782/60 is 38278900

2 275, 356, 782
275, 178, 391

∴ So the LCM of the given numbers is 2 x 275 x 178 x 391 = 38278900

Least Common Multiple of 275,356,782 with GCF Formula

Least Common Multiple of 275,356,782 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 275,356,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,356,782) = 1

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

GCF(275,356,782) x common factors =1 x 2 = 2

LCM(275,356,782) = ( 275 × 356 × 782 ) / 2

LCM(275,356,782) = 76557800 / 2

LCM(275,356,782) = 38278900


Lets's calculate GCF of 78,65,60

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38278900/1

Therefore the LCM of Fractions 275/78,356/65,782/60 is 38278900

Greatest Common Factor of 78,65,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,65,60 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 78,65,60 . The biggest common factor number is the GCF number.
So the greatest common factor 78,65,60 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 275/78, 356/65, 782/60

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 275/78, 356/65, 782/60?

Answer: LCM of Numerators as per given numbers 275/78, 356/65, 782/60 is

LCM of Numerators i.e. for 275,356,782 is 38278900

GCF of denominators i.e. for 78,65,60 is 1.

Thus, LCM of Fractions is 38278900.Finally, LCM of Fractions for 275/78, 356/65, 782/60 is 38278900.