Least Common Multiple of 22/42, 79/91, 55/77, 51/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/42, 79/91, 55/77, 51/768 quickly i.e. 443190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/42, 79/91, 55/77, 51/768 is 443190.

LCM(22/42, 79/91, 55/77, 51/768) = 443190

LCM of 22/42, 79/91, 55/77, 51/768

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 22/42,79/91,55/77,51/768

Given numbers are 22/42,79/91,55/77,51/768

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 22,79,55,51

Least Common Multiple of Numerators i.e. LCM of 22,79,55,51 is 443190.

GCF of Denominators means GCF of 42,91,77,768 as per the given fractions.

GCF of 42,91,77,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,79,55,51

LCM of Fractions 22/42,79/91,55/77,51/768 is 443190

11 22, 79, 55, 51
2, 79, 5, 51

∴ So the LCM of the given numbers is 11 x 2 x 79 x 5 x 51 = 443190

Least Common Multiple of 22,79,55,51 with GCF Formula

Least Common Multiple of 22,79,55,51 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 22,79,55,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,79,55,51) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(22,79,55,51) x common factors =1 x 11 = 11

LCM(22,79,55,51) = ( 22 × 79 × 55 × 51 ) / 11

LCM(22,79,55,51) = 4875090 / 11

LCM(22,79,55,51) = 443190


Lets's calculate GCF of 42,91,77,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 443190/1

Therefore the LCM of Fractions 22/42,79/91,55/77,51/768 is 443190

Greatest Common Factor of 42,91,77,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,91,77,768 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 42,91,77,768 . The biggest common factor number is the GCF number.
So the greatest common factor 42,91,77,768 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 22/42, 79/91, 55/77, 51/768

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 22/42, 79/91, 55/77, 51/768?

Answer: LCM of Numerators as per given numbers 22/42, 79/91, 55/77, 51/768 is

LCM of Numerators i.e. for 22,79,55,51 is 443190

GCF of denominators i.e. for 42,91,77,768 is 1.

Thus, LCM of Fractions is 443190.Finally, LCM of Fractions for 22/42, 79/91, 55/77, 51/768 is 443190.