Least Common Multiple of 79/61, 47/82, 77/63, 77/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/61, 47/82, 77/63, 77/186 quickly i.e. 285901 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/61, 47/82, 77/63, 77/186 is 285901.

LCM(79/61, 47/82, 77/63, 77/186) = 285901

LCM of 79/61, 47/82, 77/63, 77/186

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 79/61,47/82,77/63,77/186

Given numbers are 79/61,47/82,77/63,77/186

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 79,47,77,77

Least Common Multiple of Numerators i.e. LCM of 79,47,77,77 is 285901.

GCF of Denominators means GCF of 61,82,63,186 as per the given fractions.

GCF of 61,82,63,186 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,47,77,77

LCM of Fractions 79/61,47/82,77/63,77/186 is 285901

7 79, 47, 77, 77
11 79, 47, 11, 11
79, 47, 1, 1

∴ So the LCM of the given numbers is 7 x 11 x 79 x 47 x 1 x 1 = 285901

Least Common Multiple of 79,47,77,77 with GCF Formula

Least Common Multiple of 79,47,77,77 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 79,47,77,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,47,77,77) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(79,47,77,77) x common factors =1 x 77 = 77

LCM(79,47,77,77) = ( 79 × 47 × 77 × 77 ) / 77

LCM(79,47,77,77) = 22014377 / 77

LCM(79,47,77,77) = 285901


Lets's calculate GCF of 61,82,63,186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285901/1

Therefore the LCM of Fractions 79/61,47/82,77/63,77/186 is 285901

Greatest Common Factor of 61,82,63,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,82,63,186 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 61,82,63,186 . The biggest common factor number is the GCF number.
So the greatest common factor 61,82,63,186 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 79/61, 47/82, 77/63, 77/186

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 79/61, 47/82, 77/63, 77/186?

Answer: LCM of Numerators as per given numbers 79/61, 47/82, 77/63, 77/186 is

LCM of Numerators i.e. for 79,47,77,77 is 285901

GCF of denominators i.e. for 61,82,63,186 is 1.

Thus, LCM of Fractions is 285901.Finally, LCM of Fractions for 79/61, 47/82, 77/63, 77/186 is 285901.