Least Common Multiple of 451/318, 983/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 451/318, 983/968 quickly i.e. 443333/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 451/318, 983/968 is 443333/2.

LCM(451/318, 983/968) = 443333/2

LCM of 451/318, 983/968

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 451/318,983/968

Given numbers are 451/318,983/968

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 451,983

Least Common Multiple of Numerators i.e. LCM of 451,983 is 443333.

GCF of Denominators means GCF of 318,968 as per the given fractions.

GCF of 318,968 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 451,983

LCM of Fractions 451/318,983/968 is 443333/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 443333

Least Common Multiple of 451,983 with GCF Formula

Least Common Multiple of 451,983 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 451,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,983) = 1

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

GCF(451,983) x common factors =1 x 1 = 1

LCM(451,983) = ( 451 × 983 ) / 1

LCM(451,983) = 443333 / 1

LCM(451,983) = 443333


Lets's calculate GCF of 318,968

2 318, 968
159, 484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 443333/2

Therefore the LCM of Fractions 451/318,983/968 is 443333/2

Greatest Common Factor of 318,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,968 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

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 318,968 . The biggest common factor number is the GCF number.
So the greatest common factor 318,968 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 451/318, 983/968

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 451/318, 983/968?

Answer: LCM of Numerators as per given numbers 451/318, 983/968 is

LCM of Numerators i.e. for 451,983 is 443333

GCF of denominators i.e. for 318,968 is 2.

Thus, LCM of Fractions is 443333/2.Finally, LCM of Fractions for 451/318, 983/968 is 443333/2.