Least Common Multiple of 77/59, 962/58, 279/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/59, 962/58, 279/755 quickly i.e. 20666646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/59, 962/58, 279/755 is 20666646.

LCM(77/59, 962/58, 279/755) = 20666646

LCM of 77/59, 962/58, 279/755

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 77/59,962/58,279/755

Given numbers are 77/59,962/58,279/755

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 77,962,279

Least Common Multiple of Numerators i.e. LCM of 77,962,279 is 20666646.

GCF of Denominators means GCF of 59,58,755 as per the given fractions.

GCF of 59,58,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,962,279

LCM of Fractions 77/59,962/58,279/755 is 20666646

Given numbers has no common factors except 1. So, there LCM is their product i.e 20666646

Least Common Multiple of 77,962,279 with GCF Formula

Least Common Multiple of 77,962,279 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 77,962,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,962,279) = 1

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

GCF(77,962,279) x common factors =1 x 1 = 1

LCM(77,962,279) = ( 77 × 962 × 279 ) / 1

LCM(77,962,279) = 20666646 / 1

LCM(77,962,279) = 20666646


Lets's calculate GCF of 59,58,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20666646/1

Therefore the LCM of Fractions 77/59,962/58,279/755 is 20666646

Greatest Common Factor of 59,58,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,58,755 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 59,58,755 . The biggest common factor number is the GCF number.
So the greatest common factor 59,58,755 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 77/59, 962/58, 279/755

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 77/59, 962/58, 279/755?

Answer: LCM of Numerators as per given numbers 77/59, 962/58, 279/755 is

LCM of Numerators i.e. for 77,962,279 is 20666646

GCF of denominators i.e. for 59,58,755 is 1.

Thus, LCM of Fractions is 20666646.Finally, LCM of Fractions for 77/59, 962/58, 279/755 is 20666646.