Least Common Multiple of 64/667, 25/132, 785/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/667, 25/132, 785/260 quickly i.e. 251200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/667, 25/132, 785/260 is 251200.

LCM(64/667, 25/132, 785/260) = 251200

LCM of 64/667, 25/132, 785/260

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 64/667,25/132,785/260

Given numbers are 64/667,25/132,785/260

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 64,25,785

Least Common Multiple of Numerators i.e. LCM of 64,25,785 is 251200.

GCF of Denominators means GCF of 667,132,260 as per the given fractions.

GCF of 667,132,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,25,785

LCM of Fractions 64/667,25/132,785/260 is 251200

5 64, 25, 785
64, 5, 157

∴ So the LCM of the given numbers is 5 x 64 x 5 x 157 = 251200

Least Common Multiple of 64,25,785 with GCF Formula

Least Common Multiple of 64,25,785 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 64,25,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,25,785) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(64,25,785) x common factors =1 x 5 = 5

LCM(64,25,785) = ( 64 × 25 × 785 ) / 5

LCM(64,25,785) = 1256000 / 5

LCM(64,25,785) = 251200


Lets's calculate GCF of 667,132,260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251200/1

Therefore the LCM of Fractions 64/667,25/132,785/260 is 251200

Greatest Common Factor of 667,132,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,132,260 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 667,132,260 . The biggest common factor number is the GCF number.
So the greatest common factor 667,132,260 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 64/667, 25/132, 785/260

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 64/667, 25/132, 785/260?

Answer: LCM of Numerators as per given numbers 64/667, 25/132, 785/260 is

LCM of Numerators i.e. for 64,25,785 is 251200

GCF of denominators i.e. for 667,132,260 is 1.

Thus, LCM of Fractions is 251200.Finally, LCM of Fractions for 64/667, 25/132, 785/260 is 251200.