Least Common Multiple of 327/98, 318/64, 323/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 327/98, 318/64, 323/778 quickly i.e. 5597913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/98, 318/64, 323/778 is 5597913.

LCM(327/98, 318/64, 323/778) = 5597913

LCM of 327/98, 318/64, 323/778

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 327/98,318/64,323/778

Given numbers are 327/98,318/64,323/778

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 327,318,323

Least Common Multiple of Numerators i.e. LCM of 327,318,323 is 11195826.

GCF of Denominators means GCF of 98,64,778 as per the given fractions.

GCF of 98,64,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,318,323

LCM of Fractions 327/98,318/64,323/778 is 5597913

3 327, 318, 323
109, 106, 323

∴ So the LCM of the given numbers is 3 x 109 x 106 x 323 = 11195826

Least Common Multiple of 327,318,323 with GCF Formula

Least Common Multiple of 327,318,323 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 327,318,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,318,323) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(327,318,323) x common factors =1 x 3 = 3

LCM(327,318,323) = ( 327 × 318 × 323 ) / 3

LCM(327,318,323) = 33587478 / 3

LCM(327,318,323) = 11195826


Lets's calculate GCF of 98,64,778

2 98, 64, 778
49, 32, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11195826/2

Therefore the LCM of Fractions 327/98,318/64,323/778 is 5597913

Greatest Common Factor of 98,64,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,64,778 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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 98,64,778 . The biggest common factor number is the GCF number.
So the greatest common factor 98,64,778 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 327/98, 318/64, 323/778

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 327/98, 318/64, 323/778?

Answer: LCM of Numerators as per given numbers 327/98, 318/64, 323/778 is

LCM of Numerators i.e. for 327,318,323 is 11195826

GCF of denominators i.e. for 98,64,778 is 2.

Thus, LCM of Fractions is 5597913.Finally, LCM of Fractions for 327/98, 318/64, 323/778 is 5597913.