Least Common Multiple of 899/80, 476/10, 377/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 899/80, 476/10, 377/49 quickly i.e. 5563012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 899/80, 476/10, 377/49 is 5563012.

LCM(899/80, 476/10, 377/49) = 5563012

LCM of 899/80, 476/10, 377/49

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 899/80,476/10,377/49

Given numbers are 899/80,476/10,377/49

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 899,476,377

Least Common Multiple of Numerators i.e. LCM of 899,476,377 is 5563012.

GCF of Denominators means GCF of 80,10,49 as per the given fractions.

GCF of 80,10,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 899,476,377

LCM of Fractions 899/80,476/10,377/49 is 5563012

29 899, 476, 377
31, 476, 13

∴ So the LCM of the given numbers is 29 x 31 x 476 x 13 = 5563012

Least Common Multiple of 899,476,377 with GCF Formula

Least Common Multiple of 899,476,377 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 899,476,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,476,377) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(899,476,377) x common factors =1 x 29 = 29

LCM(899,476,377) = ( 899 × 476 × 377 ) / 29

LCM(899,476,377) = 161327348 / 29

LCM(899,476,377) = 5563012


Lets's calculate GCF of 80,10,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5563012/1

Therefore the LCM of Fractions 899/80,476/10,377/49 is 5563012

Greatest Common Factor of 80,10,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,10,49 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 80,10,49 . The biggest common factor number is the GCF number.
So the greatest common factor 80,10,49 is 1.


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Frequently Asked Questions on Fractional LCM of 899/80, 476/10, 377/49

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 899/80, 476/10, 377/49?

Answer: LCM of Numerators as per given numbers 899/80, 476/10, 377/49 is

LCM of Numerators i.e. for 899,476,377 is 5563012

GCF of denominators i.e. for 80,10,49 is 1.

Thus, LCM of Fractions is 5563012.Finally, LCM of Fractions for 899/80, 476/10, 377/49 is 5563012.