Least Common Multiple of 85/98, 60/16, 968/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/98, 60/16, 968/956 quickly i.e. 123420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/98, 60/16, 968/956 is 123420.

LCM(85/98, 60/16, 968/956) = 123420

LCM of 85/98, 60/16, 968/956

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 85/98,60/16,968/956

Given numbers are 85/98,60/16,968/956

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 85,60,968

Least Common Multiple of Numerators i.e. LCM of 85,60,968 is 246840.

GCF of Denominators means GCF of 98,16,956 as per the given fractions.

GCF of 98,16,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,60,968

LCM of Fractions 85/98,60/16,968/956 is 123420

2 85, 60, 968
2 85, 30, 484
5 85, 15, 242
17, 3, 242

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 3 x 242 = 246840

Least Common Multiple of 85,60,968 with GCF Formula

Least Common Multiple of 85,60,968 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 85,60,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,60,968) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(85,60,968) x common factors =1 x 20 = 20

LCM(85,60,968) = ( 85 × 60 × 968 ) / 20

LCM(85,60,968) = 4936800 / 20

LCM(85,60,968) = 246840


Lets's calculate GCF of 98,16,956

2 98, 16, 956
49, 8, 478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246840/2

Therefore the LCM of Fractions 85/98,60/16,968/956 is 123420

Greatest Common Factor of 98,16,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,16,956 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 98,16,956 . The biggest common factor number is the GCF number.
So the greatest common factor 98,16,956 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 85/98, 60/16, 968/956

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 85/98, 60/16, 968/956?

Answer: LCM of Numerators as per given numbers 85/98, 60/16, 968/956 is

LCM of Numerators i.e. for 85,60,968 is 246840

GCF of denominators i.e. for 98,16,956 is 2.

Thus, LCM of Fractions is 123420.Finally, LCM of Fractions for 85/98, 60/16, 968/956 is 123420.