Least Common Multiple of 808/79, 674/20, 376/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 808/79, 674/20, 376/73 quickly i.e. 12797912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/79, 674/20, 376/73 is 12797912.

LCM(808/79, 674/20, 376/73) = 12797912

LCM of 808/79, 674/20, 376/73

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 808/79,674/20,376/73

Given numbers are 808/79,674/20,376/73

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 808,674,376

Least Common Multiple of Numerators i.e. LCM of 808,674,376 is 12797912.

GCF of Denominators means GCF of 79,20,73 as per the given fractions.

GCF of 79,20,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,674,376

LCM of Fractions 808/79,674/20,376/73 is 12797912

2 808, 674, 376
2 404, 337, 188
2 202, 337, 94
101, 337, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 337 x 47 = 12797912

Least Common Multiple of 808,674,376 with GCF Formula

Least Common Multiple of 808,674,376 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 808,674,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,674,376) = 2

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

GCF(808,674,376) x common factors =2 x 8 = 16

LCM(808,674,376) = ( 808 × 674 × 376 ) / 16

LCM(808,674,376) = 204766592 / 16

LCM(808,674,376) = 12797912


Lets's calculate GCF of 79,20,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12797912/1

Therefore the LCM of Fractions 808/79,674/20,376/73 is 12797912

Greatest Common Factor of 79,20,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,20,73 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 20

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

1,2,4,5,10,20

Factors of 73

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

1,73

Greatest Common Factor

We found the factors 79,20,73 . The biggest common factor number is the GCF number.
So the greatest common factor 79,20,73 is 1.


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Frequently Asked Questions on Fractional LCM of 808/79, 674/20, 376/73

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 808/79, 674/20, 376/73?

Answer: LCM of Numerators as per given numbers 808/79, 674/20, 376/73 is

LCM of Numerators i.e. for 808,674,376 is 12797912

GCF of denominators i.e. for 79,20,73 is 1.

Thus, LCM of Fractions is 12797912.Finally, LCM of Fractions for 808/79, 674/20, 376/73 is 12797912.