Least Common Multiple of 107/254, 489/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/254, 489/635 quickly i.e. 52323/127 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/254, 489/635 is 52323/127.

LCM(107/254, 489/635) = 52323/127

LCM of 107/254, 489/635

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 107/254,489/635

Given numbers are 107/254,489/635

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 107,489

Least Common Multiple of Numerators i.e. LCM of 107,489 is 52323.

GCF of Denominators means GCF of 254,635 as per the given fractions.

GCF of 254,635 is 127 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,489

LCM of Fractions 107/254,489/635 is 52323/127

Given numbers has no common factors except 1. So, there LCM is their product i.e 52323

Least Common Multiple of 107,489 with GCF Formula

Least Common Multiple of 107,489 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 107,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,489) = 1

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

GCF(107,489) x common factors =1 x 1 = 1

LCM(107,489) = ( 107 × 489 ) / 1

LCM(107,489) = 52323 / 1

LCM(107,489) = 52323


Lets's calculate GCF of 254,635

127 254, 635
2, 5

∴ So the GCF of the given numbers is 127 = 127

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52323/127

Therefore the LCM of Fractions 107/254,489/635 is 52323/127

Greatest Common Factor of 254,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,635 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 254,635 . The biggest common factor number is the GCF number.
So the greatest common factor 254,635 is 127.


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 107/254, 489/635

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 107/254, 489/635?

Answer: LCM of Numerators as per given numbers 107/254, 489/635 is

LCM of Numerators i.e. for 107,489 is 52323

GCF of denominators i.e. for 254,635 is 127.

Thus, LCM of Fractions is 52323/127.Finally, LCM of Fractions for 107/254, 489/635 is 52323/127.