Least Common Multiple of 5260/968, 8584/3108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5260/968, 8584/3108 quickly i.e. 2821990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5260/968, 8584/3108 is 2821990.

LCM(5260/968, 8584/3108) = 2821990

LCM of 5260/968, 8584/3108

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 5260/968,8584/3108

Given numbers are 5260/968,8584/3108

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 5260,8584

Least Common Multiple of Numerators i.e. LCM of 5260,8584 is 11287960.

GCF of Denominators means GCF of 968,3108 as per the given fractions.

GCF of 968,3108 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5260,8584

LCM of Fractions 5260/968,8584/3108 is 2821990

2 5260, 8584
2 2630, 4292
1315, 2146

∴ So the LCM of the given numbers is 2 x 2 x 1315 x 2146 = 11287960

Least Common Multiple of 5260,8584 with GCF Formula

Least Common Multiple of 5260,8584 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 5260,8584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5260,8584) = 4

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

GCF(5260,8584) x common factors =4 x 1 = 4

LCM(5260,8584) = ( 5260 × 8584 ) / 4

LCM(5260,8584) = 45151840 / 4

LCM(5260,8584) = 11287960


Lets's calculate GCF of 968,3108

2 968, 3108
2 484, 1554
242, 777

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11287960/4

Therefore the LCM of Fractions 5260/968,8584/3108 is 2821990

Greatest Common Factor of 968,3108 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,3108 By Matching Biggest Common Factor Method

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

Factors of 3108

List of positive integer factors of 3108 that divides 3108 without a remainder.

1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108

Greatest Common Factor

We found the factors 968,3108 . The biggest common factor number is the GCF number.
So the greatest common factor 968,3108 is 4.


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 5260/968, 8584/3108

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 5260/968, 8584/3108?

Answer: LCM of Numerators as per given numbers 5260/968, 8584/3108 is

LCM of Numerators i.e. for 5260,8584 is 11287960

GCF of denominators i.e. for 968,3108 is 4.

Thus, LCM of Fractions is 2821990.Finally, LCM of Fractions for 5260/968, 8584/3108 is 2821990.