Least Common Multiple of 613/906, 887/310, 960/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 613/906, 887/310, 960/398 quickly i.e. 260990880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 613/906, 887/310, 960/398 is 260990880.

LCM(613/906, 887/310, 960/398) = 260990880

LCM of 613/906, 887/310, 960/398

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 613/906,887/310,960/398

Given numbers are 613/906,887/310,960/398

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 613,887,960

Least Common Multiple of Numerators i.e. LCM of 613,887,960 is 521981760.

GCF of Denominators means GCF of 906,310,398 as per the given fractions.

GCF of 906,310,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 613,887,960

LCM of Fractions 613/906,887/310,960/398 is 260990880

Given numbers has no common factors except 1. So, there LCM is their product i.e 521981760

Least Common Multiple of 613,887,960 with GCF Formula

Least Common Multiple of 613,887,960 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 613,887,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,887,960) = 1

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

GCF(613,887,960) x common factors =1 x 1 = 1

LCM(613,887,960) = ( 613 × 887 × 960 ) / 1

LCM(613,887,960) = 521981760 / 1

LCM(613,887,960) = 521981760


Lets's calculate GCF of 906,310,398

2 906, 310, 398
453, 155, 199

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 521981760/2

Therefore the LCM of Fractions 613/906,887/310,960/398 is 260990880

Greatest Common Factor of 906,310,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,310,398 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 906,310,398 . The biggest common factor number is the GCF number.
So the greatest common factor 906,310,398 is 2.


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 613/906, 887/310, 960/398

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 613/906, 887/310, 960/398?

Answer: LCM of Numerators as per given numbers 613/906, 887/310, 960/398 is

LCM of Numerators i.e. for 613,887,960 is 521981760

GCF of denominators i.e. for 906,310,398 is 2.

Thus, LCM of Fractions is 260990880.Finally, LCM of Fractions for 613/906, 887/310, 960/398 is 260990880.