Least Common Multiple of 314/264, 253/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/264, 253/654 quickly i.e. 79442/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/264, 253/654 is 79442/6.

LCM(314/264, 253/654) = 79442/6

LCM of 314/264, 253/654

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 314/264,253/654

Given numbers are 314/264,253/654

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 314,253

Least Common Multiple of Numerators i.e. LCM of 314,253 is 79442.

GCF of Denominators means GCF of 264,654 as per the given fractions.

GCF of 264,654 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,253

LCM of Fractions 314/264,253/654 is 79442/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 79442

Least Common Multiple of 314,253 with GCF Formula

Least Common Multiple of 314,253 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 314,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,253) = 1

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

GCF(314,253) x common factors =1 x 1 = 1

LCM(314,253) = ( 314 × 253 ) / 1

LCM(314,253) = 79442 / 1

LCM(314,253) = 79442


Lets's calculate GCF of 264,654

2 264, 654
3 132, 327
44, 109

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79442/6

Therefore the LCM of Fractions 314/264,253/654 is 79442/6

Greatest Common Factor of 264,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,654 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 264,654 . The biggest common factor number is the GCF number.
So the greatest common factor 264,654 is 6.


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 314/264, 253/654

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 314/264, 253/654?

Answer: LCM of Numerators as per given numbers 314/264, 253/654 is

LCM of Numerators i.e. for 314,253 is 79442

GCF of denominators i.e. for 264,654 is 6.

Thus, LCM of Fractions is 79442/6.Finally, LCM of Fractions for 314/264, 253/654 is 79442/6.