Least Common Multiple of 403/560, 7384/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 403/560, 7384/968 quickly i.e. 28613 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/560, 7384/968 is 28613.

LCM(403/560, 7384/968) = 28613

LCM of 403/560, 7384/968

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 403/560,7384/968

Given numbers are 403/560,7384/968

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 403,7384

Least Common Multiple of Numerators i.e. LCM of 403,7384 is 228904.

GCF of Denominators means GCF of 560,968 as per the given fractions.

GCF of 560,968 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,7384

LCM of Fractions 403/560,7384/968 is 28613

13 403, 7384
31, 568

∴ So the LCM of the given numbers is 13 x 31 x 568 = 228904

Least Common Multiple of 403,7384 with GCF Formula

Least Common Multiple of 403,7384 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 403,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,7384) = 13

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

GCF(403,7384) x common factors =13 x 1 = 13

LCM(403,7384) = ( 403 × 7384 ) / 13

LCM(403,7384) = 2975752 / 13

LCM(403,7384) = 228904


Lets's calculate GCF of 560,968

2 560, 968
2 280, 484
2 140, 242
70, 121

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228904/8

Therefore the LCM of Fractions 403/560,7384/968 is 28613

Greatest Common Factor of 560,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,968 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 560,968 . The biggest common factor number is the GCF number.
So the greatest common factor 560,968 is 8.


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 403/560, 7384/968

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 403/560, 7384/968?

Answer: LCM of Numerators as per given numbers 403/560, 7384/968 is

LCM of Numerators i.e. for 403,7384 is 228904

GCF of denominators i.e. for 560,968 is 8.

Thus, LCM of Fractions is 28613.Finally, LCM of Fractions for 403/560, 7384/968 is 28613.