Least Common Multiple of 302/76, 802/71, 595/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/76, 802/71, 595/118 quickly i.e. 72055690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/76, 802/71, 595/118 is 72055690.

LCM(302/76, 802/71, 595/118) = 72055690

LCM of 302/76, 802/71, 595/118

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 302/76,802/71,595/118

Given numbers are 302/76,802/71,595/118

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 302,802,595

Least Common Multiple of Numerators i.e. LCM of 302,802,595 is 72055690.

GCF of Denominators means GCF of 76,71,118 as per the given fractions.

GCF of 76,71,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,802,595

LCM of Fractions 302/76,802/71,595/118 is 72055690

2 302, 802, 595
151, 401, 595

∴ So the LCM of the given numbers is 2 x 151 x 401 x 595 = 72055690

Least Common Multiple of 302,802,595 with GCF Formula

Least Common Multiple of 302,802,595 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 302,802,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,802,595) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(302,802,595) x common factors =1 x 2 = 2

LCM(302,802,595) = ( 302 × 802 × 595 ) / 2

LCM(302,802,595) = 144111380 / 2

LCM(302,802,595) = 72055690


Lets's calculate GCF of 76,71,118

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72055690/1

Therefore the LCM of Fractions 302/76,802/71,595/118 is 72055690

Greatest Common Factor of 76,71,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,71,118 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 118

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

1,2,59,118

Greatest Common Factor

We found the factors 76,71,118 . The biggest common factor number is the GCF number.
So the greatest common factor 76,71,118 is 1.


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 302/76, 802/71, 595/118

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 302/76, 802/71, 595/118?

Answer: LCM of Numerators as per given numbers 302/76, 802/71, 595/118 is

LCM of Numerators i.e. for 302,802,595 is 72055690

GCF of denominators i.e. for 76,71,118 is 1.

Thus, LCM of Fractions is 72055690.Finally, LCM of Fractions for 302/76, 802/71, 595/118 is 72055690.