Least Common Multiple of 76/29, 62/20, 44/95, 45/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 76/29, 62/20, 44/95, 45/886 quickly i.e. 1166220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/29, 62/20, 44/95, 45/886 is 1166220.

LCM(76/29, 62/20, 44/95, 45/886) = 1166220

LCM of 76/29, 62/20, 44/95, 45/886

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 76/29,62/20,44/95,45/886

Given numbers are 76/29,62/20,44/95,45/886

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 76,62,44,45

Least Common Multiple of Numerators i.e. LCM of 76,62,44,45 is 1166220.

GCF of Denominators means GCF of 29,20,95,886 as per the given fractions.

GCF of 29,20,95,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,62,44,45

LCM of Fractions 76/29,62/20,44/95,45/886 is 1166220

2 76, 62, 44, 45
2 38, 31, 22, 45
19, 31, 11, 45

∴ So the LCM of the given numbers is 2 x 2 x 19 x 31 x 11 x 45 = 1166220

Least Common Multiple of 76,62,44,45 with GCF Formula

Least Common Multiple of 76,62,44,45 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 76,62,44,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,62,44,45) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(76,62,44,45) x common factors =1 x 8 = 8

LCM(76,62,44,45) = ( 76 × 62 × 44 × 45 ) / 8

LCM(76,62,44,45) = 9329760 / 8

LCM(76,62,44,45) = 1166220


Lets's calculate GCF of 29,20,95,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1166220/1

Therefore the LCM of Fractions 76/29,62/20,44/95,45/886 is 1166220

Greatest Common Factor of 29,20,95,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,20,95,886 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 29,20,95,886 . The biggest common factor number is the GCF number.
So the greatest common factor 29,20,95,886 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 76/29, 62/20, 44/95, 45/886

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 76/29, 62/20, 44/95, 45/886?

Answer: LCM of Numerators as per given numbers 76/29, 62/20, 44/95, 45/886 is

LCM of Numerators i.e. for 76,62,44,45 is 1166220

GCF of denominators i.e. for 29,20,95,886 is 1.

Thus, LCM of Fractions is 1166220.Finally, LCM of Fractions for 76/29, 62/20, 44/95, 45/886 is 1166220.