Least Common Multiple of 45/778, 27/642, 431/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/778, 27/642, 431/996 quickly i.e. 58185/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/778, 27/642, 431/996 is 58185/2.

LCM(45/778, 27/642, 431/996) = 58185/2

LCM of 45/778, 27/642, 431/996

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 45/778,27/642,431/996

Given numbers are 45/778,27/642,431/996

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 45,27,431

Least Common Multiple of Numerators i.e. LCM of 45,27,431 is 58185.

GCF of Denominators means GCF of 778,642,996 as per the given fractions.

GCF of 778,642,996 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,27,431

LCM of Fractions 45/778,27/642,431/996 is 58185/2

3 45, 27, 431
3 15, 9, 431
5, 3, 431

∴ So the LCM of the given numbers is 3 x 3 x 5 x 3 x 431 = 58185

Least Common Multiple of 45,27,431 with GCF Formula

Least Common Multiple of 45,27,431 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 45,27,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,27,431) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(45,27,431) x common factors =1 x 9 = 9

LCM(45,27,431) = ( 45 × 27 × 431 ) / 9

LCM(45,27,431) = 523665 / 9

LCM(45,27,431) = 58185


Lets's calculate GCF of 778,642,996

2 778, 642, 996
389, 321, 498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58185/2

Therefore the LCM of Fractions 45/778,27/642,431/996 is 58185/2

Greatest Common Factor of 778,642,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,642,996 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 778,642,996 . The biggest common factor number is the GCF number.
So the greatest common factor 778,642,996 is 2.


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 45/778, 27/642, 431/996

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 45/778, 27/642, 431/996?

Answer: LCM of Numerators as per given numbers 45/778, 27/642, 431/996 is

LCM of Numerators i.e. for 45,27,431 is 58185

GCF of denominators i.e. for 778,642,996 is 2.

Thus, LCM of Fractions is 58185/2.Finally, LCM of Fractions for 45/778, 27/642, 431/996 is 58185/2.