Least Common Multiple of 968/23, 732/4396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 968/23, 732/4396 quickly i.e. 177144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 968/23, 732/4396 is 177144.

LCM(968/23, 732/4396) = 177144

LCM of 968/23, 732/4396

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 968/23,732/4396

Given numbers are 968/23,732/4396

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 968,732

Least Common Multiple of Numerators i.e. LCM of 968,732 is 177144.

GCF of Denominators means GCF of 23,4396 as per the given fractions.

GCF of 23,4396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 968,732

LCM of Fractions 968/23,732/4396 is 177144

2 968, 732
2 484, 366
242, 183

∴ So the LCM of the given numbers is 2 x 2 x 242 x 183 = 177144

Least Common Multiple of 968,732 with GCF Formula

Least Common Multiple of 968,732 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 968,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,732) = 4

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

GCF(968,732) x common factors =4 x 1 = 4

LCM(968,732) = ( 968 × 732 ) / 4

LCM(968,732) = 708576 / 4

LCM(968,732) = 177144


Lets's calculate GCF of 23,4396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177144/1

Therefore the LCM of Fractions 968/23,732/4396 is 177144

Greatest Common Factor of 23,4396 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,4396 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 4396

List of positive integer factors of 4396 that divides 4396 without a remainder.

1,2,4,7,14,28,157,314,628,1099,2198,4396

Greatest Common Factor

We found the factors 23,4396 . The biggest common factor number is the GCF number.
So the greatest common factor 23,4396 is 1.


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Frequently Asked Questions on Fractional LCM of 968/23, 732/4396

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 968/23, 732/4396?

Answer: LCM of Numerators as per given numbers 968/23, 732/4396 is

LCM of Numerators i.e. for 968,732 is 177144

GCF of denominators i.e. for 23,4396 is 1.

Thus, LCM of Fractions is 177144.Finally, LCM of Fractions for 968/23, 732/4396 is 177144.