Least Common Multiple of 48/968, 51/589, 956/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/968, 51/589, 956/798 quickly i.e. 195024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/968, 51/589, 956/798 is 195024.

LCM(48/968, 51/589, 956/798) = 195024

LCM of 48/968, 51/589, 956/798

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 48/968,51/589,956/798

Given numbers are 48/968,51/589,956/798

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 48,51,956

Least Common Multiple of Numerators i.e. LCM of 48,51,956 is 195024.

GCF of Denominators means GCF of 968,589,798 as per the given fractions.

GCF of 968,589,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,51,956

LCM of Fractions 48/968,51/589,956/798 is 195024

2 48, 51, 956
2 24, 51, 478
3 12, 51, 239
4, 17, 239

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 17 x 239 = 195024

Least Common Multiple of 48,51,956 with GCF Formula

Least Common Multiple of 48,51,956 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 48,51,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,51,956) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(48,51,956) x common factors =1 x 12 = 12

LCM(48,51,956) = ( 48 × 51 × 956 ) / 12

LCM(48,51,956) = 2340288 / 12

LCM(48,51,956) = 195024


Lets's calculate GCF of 968,589,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195024/1

Therefore the LCM of Fractions 48/968,51/589,956/798 is 195024

Greatest Common Factor of 968,589,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,589,798 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 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 968,589,798 . The biggest common factor number is the GCF number.
So the greatest common factor 968,589,798 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 48/968, 51/589, 956/798

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 48/968, 51/589, 956/798?

Answer: LCM of Numerators as per given numbers 48/968, 51/589, 956/798 is

LCM of Numerators i.e. for 48,51,956 is 195024

GCF of denominators i.e. for 968,589,798 is 1.

Thus, LCM of Fractions is 195024.Finally, LCM of Fractions for 48/968, 51/589, 956/798 is 195024.