Least Common Multiple of 76/302, 98/908, 805/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 76/302, 98/908, 805/130 quickly i.e. 214130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/302, 98/908, 805/130 is 214130.

LCM(76/302, 98/908, 805/130) = 214130

LCM of 76/302, 98/908, 805/130

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 76/302,98/908,805/130

Given numbers are 76/302,98/908,805/130

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 76,98,805

Least Common Multiple of Numerators i.e. LCM of 76,98,805 is 428260.

GCF of Denominators means GCF of 302,908,130 as per the given fractions.

GCF of 302,908,130 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,98,805

LCM of Fractions 76/302,98/908,805/130 is 214130

2 76, 98, 805
7 38, 49, 805
38, 7, 115

∴ So the LCM of the given numbers is 2 x 7 x 38 x 7 x 115 = 428260

Least Common Multiple of 76,98,805 with GCF Formula

Least Common Multiple of 76,98,805 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 76,98,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,98,805) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(76,98,805) x common factors =1 x 14 = 14

LCM(76,98,805) = ( 76 × 98 × 805 ) / 14

LCM(76,98,805) = 5995640 / 14

LCM(76,98,805) = 428260


Lets's calculate GCF of 302,908,130

2 302, 908, 130
151, 454, 65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428260/2

Therefore the LCM of Fractions 76/302,98/908,805/130 is 214130

Greatest Common Factor of 302,908,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,908,130 By Matching Biggest Common Factor Method

Factors of 302

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

1,2,151,302

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 302,908,130 . The biggest common factor number is the GCF number.
So the greatest common factor 302,908,130 is 2.


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Frequently Asked Questions on Fractional LCM of 76/302, 98/908, 805/130

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 76/302, 98/908, 805/130?

Answer: LCM of Numerators as per given numbers 76/302, 98/908, 805/130 is

LCM of Numerators i.e. for 76,98,805 is 428260

GCF of denominators i.e. for 302,908,130 is 2.

Thus, LCM of Fractions is 214130.Finally, LCM of Fractions for 76/302, 98/908, 805/130 is 214130.