Least Common Multiple of 19/133, 44/580, 476/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/133, 44/580, 476/892 quickly i.e. 99484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/133, 44/580, 476/892 is 99484.

LCM(19/133, 44/580, 476/892) = 99484

LCM of 19/133, 44/580, 476/892

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 19/133,44/580,476/892

Given numbers are 19/133,44/580,476/892

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 19,44,476

Least Common Multiple of Numerators i.e. LCM of 19,44,476 is 99484.

GCF of Denominators means GCF of 133,580,892 as per the given fractions.

GCF of 133,580,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,44,476

LCM of Fractions 19/133,44/580,476/892 is 99484

2 19, 44, 476
2 19, 22, 238
19, 11, 119

∴ So the LCM of the given numbers is 2 x 2 x 19 x 11 x 119 = 99484

Least Common Multiple of 19,44,476 with GCF Formula

Least Common Multiple of 19,44,476 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 19,44,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,44,476) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(19,44,476) x common factors =1 x 4 = 4

LCM(19,44,476) = ( 19 × 44 × 476 ) / 4

LCM(19,44,476) = 397936 / 4

LCM(19,44,476) = 99484


Lets's calculate GCF of 133,580,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99484/1

Therefore the LCM of Fractions 19/133,44/580,476/892 is 99484

Greatest Common Factor of 133,580,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,580,892 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 133,580,892 . The biggest common factor number is the GCF number.
So the greatest common factor 133,580,892 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/133, 44/580, 476/892

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 19/133, 44/580, 476/892?

Answer: LCM of Numerators as per given numbers 19/133, 44/580, 476/892 is

LCM of Numerators i.e. for 19,44,476 is 99484

GCF of denominators i.e. for 133,580,892 is 1.

Thus, LCM of Fractions is 99484.Finally, LCM of Fractions for 19/133, 44/580, 476/892 is 99484.