Least Common Multiple of 45/777, 50/431, 139/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/777, 50/431, 139/612 quickly i.e. 62550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/777, 50/431, 139/612 is 62550.

LCM(45/777, 50/431, 139/612) = 62550

LCM of 45/777, 50/431, 139/612

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 45/777,50/431,139/612

Given numbers are 45/777,50/431,139/612

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 45,50,139

Least Common Multiple of Numerators i.e. LCM of 45,50,139 is 62550.

GCF of Denominators means GCF of 777,431,612 as per the given fractions.

GCF of 777,431,612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,50,139

LCM of Fractions 45/777,50/431,139/612 is 62550

5 45, 50, 139
9, 10, 139

∴ So the LCM of the given numbers is 5 x 9 x 10 x 139 = 62550

Least Common Multiple of 45,50,139 with GCF Formula

Least Common Multiple of 45,50,139 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 45,50,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,50,139) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(45,50,139) x common factors =1 x 5 = 5

LCM(45,50,139) = ( 45 × 50 × 139 ) / 5

LCM(45,50,139) = 312750 / 5

LCM(45,50,139) = 62550


Lets's calculate GCF of 777,431,612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62550/1

Therefore the LCM of Fractions 45/777,50/431,139/612 is 62550

Greatest Common Factor of 777,431,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,431,612 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 777,431,612 . The biggest common factor number is the GCF number.
So the greatest common factor 777,431,612 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 45/777, 50/431, 139/612

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 45/777, 50/431, 139/612?

Answer: LCM of Numerators as per given numbers 45/777, 50/431, 139/612 is

LCM of Numerators i.e. for 45,50,139 is 62550

GCF of denominators i.e. for 777,431,612 is 1.

Thus, LCM of Fractions is 62550.Finally, LCM of Fractions for 45/777, 50/431, 139/612 is 62550.