Least Common Multiple of 6/640, 31/413, 75/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/640, 31/413, 75/295 quickly i.e. 4650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/640, 31/413, 75/295 is 4650.

LCM(6/640, 31/413, 75/295) = 4650

LCM of 6/640, 31/413, 75/295

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 6/640,31/413,75/295

Given numbers are 6/640,31/413,75/295

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 6,31,75

Least Common Multiple of Numerators i.e. LCM of 6,31,75 is 4650.

GCF of Denominators means GCF of 640,413,295 as per the given fractions.

GCF of 640,413,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,31,75

LCM of Fractions 6/640,31/413,75/295 is 4650

3 6, 31, 75
2, 31, 25

∴ So the LCM of the given numbers is 3 x 2 x 31 x 25 = 4650

Least Common Multiple of 6,31,75 with GCF Formula

Least Common Multiple of 6,31,75 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 6,31,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,31,75) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(6,31,75) x common factors =1 x 3 = 3

LCM(6,31,75) = ( 6 × 31 × 75 ) / 3

LCM(6,31,75) = 13950 / 3

LCM(6,31,75) = 4650


Lets's calculate GCF of 640,413,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4650/1

Therefore the LCM of Fractions 6/640,31/413,75/295 is 4650

Greatest Common Factor of 640,413,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,413,295 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 640,413,295 . The biggest common factor number is the GCF number.
So the greatest common factor 640,413,295 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 6/640, 31/413, 75/295

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 6/640, 31/413, 75/295?

Answer: LCM of Numerators as per given numbers 6/640, 31/413, 75/295 is

LCM of Numerators i.e. for 6,31,75 is 4650

GCF of denominators i.e. for 640,413,295 is 1.

Thus, LCM of Fractions is 4650.Finally, LCM of Fractions for 6/640, 31/413, 75/295 is 4650.