Least Common Multiple of 29/73, 44/91, 23/55, 79/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/73, 44/91, 23/55, 79/826 quickly i.e. 2318492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/73, 44/91, 23/55, 79/826 is 2318492.

LCM(29/73, 44/91, 23/55, 79/826) = 2318492

LCM of 29/73, 44/91, 23/55, 79/826

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 29/73,44/91,23/55,79/826

Given numbers are 29/73,44/91,23/55,79/826

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 29,44,23,79

Least Common Multiple of Numerators i.e. LCM of 29,44,23,79 is 2318492.

GCF of Denominators means GCF of 73,91,55,826 as per the given fractions.

GCF of 73,91,55,826 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,44,23,79

LCM of Fractions 29/73,44/91,23/55,79/826 is 2318492

Given numbers has no common factors except 1. So, there LCM is their product i.e 2318492

Least Common Multiple of 29,44,23,79 with GCF Formula

Least Common Multiple of 29,44,23,79 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 29,44,23,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,44,23,79) = 1

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

GCF(29,44,23,79) x common factors =1 x 1 = 1

LCM(29,44,23,79) = ( 29 × 44 × 23 × 79 ) / 1

LCM(29,44,23,79) = 2318492 / 1

LCM(29,44,23,79) = 2318492


Lets's calculate GCF of 73,91,55,826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2318492/1

Therefore the LCM of Fractions 29/73,44/91,23/55,79/826 is 2318492

Greatest Common Factor of 73,91,55,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,91,55,826 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 91

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

1,7,13,91

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 73,91,55,826 . The biggest common factor number is the GCF number.
So the greatest common factor 73,91,55,826 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 29/73, 44/91, 23/55, 79/826

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 29/73, 44/91, 23/55, 79/826?

Answer: LCM of Numerators as per given numbers 29/73, 44/91, 23/55, 79/826 is

LCM of Numerators i.e. for 29,44,23,79 is 2318492

GCF of denominators i.e. for 73,91,55,826 is 1.

Thus, LCM of Fractions is 2318492.Finally, LCM of Fractions for 29/73, 44/91, 23/55, 79/826 is 2318492.