Least Common Multiple of 476/98, 570/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/98, 570/254 quickly i.e. 67830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/98, 570/254 is 67830.

LCM(476/98, 570/254) = 67830

LCM of 476/98, 570/254

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 476/98,570/254

Given numbers are 476/98,570/254

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 476,570

Least Common Multiple of Numerators i.e. LCM of 476,570 is 135660.

GCF of Denominators means GCF of 98,254 as per the given fractions.

GCF of 98,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,570

LCM of Fractions 476/98,570/254 is 67830

2 476, 570
238, 285

∴ So the LCM of the given numbers is 2 x 238 x 285 = 135660

Least Common Multiple of 476,570 with GCF Formula

Least Common Multiple of 476,570 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 476,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,570) = 2

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

GCF(476,570) x common factors =2 x 1 = 2

LCM(476,570) = ( 476 × 570 ) / 2

LCM(476,570) = 271320 / 2

LCM(476,570) = 135660


Lets's calculate GCF of 98,254

2 98, 254
49, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135660/2

Therefore the LCM of Fractions 476/98,570/254 is 67830

Greatest Common Factor of 98,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,254 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 254

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

1,2,127,254

Greatest Common Factor

We found the factors 98,254 . The biggest common factor number is the GCF number.
So the greatest common factor 98,254 is 2.


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 476/98, 570/254

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 476/98, 570/254?

Answer: LCM of Numerators as per given numbers 476/98, 570/254 is

LCM of Numerators i.e. for 476,570 is 135660

GCF of denominators i.e. for 98,254 is 2.

Thus, LCM of Fractions is 67830.Finally, LCM of Fractions for 476/98, 570/254 is 67830.