Least Common Multiple of 77/286, 379/813, 613/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/286, 379/813, 613/102 quickly i.e. 17889179 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/286, 379/813, 613/102 is 17889179.

LCM(77/286, 379/813, 613/102) = 17889179

LCM of 77/286, 379/813, 613/102

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 77/286,379/813,613/102

Given numbers are 77/286,379/813,613/102

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 77,379,613

Least Common Multiple of Numerators i.e. LCM of 77,379,613 is 17889179.

GCF of Denominators means GCF of 286,813,102 as per the given fractions.

GCF of 286,813,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,379,613

LCM of Fractions 77/286,379/813,613/102 is 17889179

Given numbers has no common factors except 1. So, there LCM is their product i.e 17889179

Least Common Multiple of 77,379,613 with GCF Formula

Least Common Multiple of 77,379,613 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 77,379,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,379,613) = 1

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

GCF(77,379,613) x common factors =1 x 1 = 1

LCM(77,379,613) = ( 77 × 379 × 613 ) / 1

LCM(77,379,613) = 17889179 / 1

LCM(77,379,613) = 17889179


Lets's calculate GCF of 286,813,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17889179/1

Therefore the LCM of Fractions 77/286,379/813,613/102 is 17889179

Greatest Common Factor of 286,813,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,813,102 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 286,813,102 . The biggest common factor number is the GCF number.
So the greatest common factor 286,813,102 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 77/286, 379/813, 613/102

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 77/286, 379/813, 613/102?

Answer: LCM of Numerators as per given numbers 77/286, 379/813, 613/102 is

LCM of Numerators i.e. for 77,379,613 is 17889179

GCF of denominators i.e. for 286,813,102 is 1.

Thus, LCM of Fractions is 17889179.Finally, LCM of Fractions for 77/286, 379/813, 613/102 is 17889179.