Least Common Multiple of 485/242, 760/118, 908/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/242, 760/118, 908/302 quickly i.e. 8367220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/242, 760/118, 908/302 is 8367220.

LCM(485/242, 760/118, 908/302) = 8367220

LCM of 485/242, 760/118, 908/302

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 485/242,760/118,908/302

Given numbers are 485/242,760/118,908/302

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 485,760,908

Least Common Multiple of Numerators i.e. LCM of 485,760,908 is 16734440.

GCF of Denominators means GCF of 242,118,302 as per the given fractions.

GCF of 242,118,302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,760,908

LCM of Fractions 485/242,760/118,908/302 is 8367220

2 485, 760, 908
2 485, 380, 454
5 485, 190, 227
97, 38, 227

∴ So the LCM of the given numbers is 2 x 2 x 5 x 97 x 38 x 227 = 16734440

Least Common Multiple of 485,760,908 with GCF Formula

Least Common Multiple of 485,760,908 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 485,760,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,760,908) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(485,760,908) x common factors =1 x 20 = 20

LCM(485,760,908) = ( 485 × 760 × 908 ) / 20

LCM(485,760,908) = 334688800 / 20

LCM(485,760,908) = 16734440


Lets's calculate GCF of 242,118,302

2 242, 118, 302
121, 59, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16734440/2

Therefore the LCM of Fractions 485/242,760/118,908/302 is 8367220

Greatest Common Factor of 242,118,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,118,302 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 242,118,302 . The biggest common factor number is the GCF number.
So the greatest common factor 242,118,302 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 485/242, 760/118, 908/302

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 485/242, 760/118, 908/302?

Answer: LCM of Numerators as per given numbers 485/242, 760/118, 908/302 is

LCM of Numerators i.e. for 485,760,908 is 16734440

GCF of denominators i.e. for 242,118,302 is 2.

Thus, LCM of Fractions is 8367220.Finally, LCM of Fractions for 485/242, 760/118, 908/302 is 8367220.