Least Common Multiple of 808/20, 305/74, 677/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 808/20, 305/74, 677/940 quickly i.e. 83419940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/20, 305/74, 677/940 is 83419940.

LCM(808/20, 305/74, 677/940) = 83419940

LCM of 808/20, 305/74, 677/940

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 808/20,305/74,677/940

Given numbers are 808/20,305/74,677/940

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 808,305,677

Least Common Multiple of Numerators i.e. LCM of 808,305,677 is 166839880.

GCF of Denominators means GCF of 20,74,940 as per the given fractions.

GCF of 20,74,940 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,305,677

LCM of Fractions 808/20,305/74,677/940 is 83419940

Given numbers has no common factors except 1. So, there LCM is their product i.e 166839880

Least Common Multiple of 808,305,677 with GCF Formula

Least Common Multiple of 808,305,677 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 808,305,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,305,677) = 1

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

GCF(808,305,677) x common factors =1 x 1 = 1

LCM(808,305,677) = ( 808 × 305 × 677 ) / 1

LCM(808,305,677) = 166839880 / 1

LCM(808,305,677) = 166839880


Lets's calculate GCF of 20,74,940

2 20, 74, 940
10, 37, 470

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166839880/2

Therefore the LCM of Fractions 808/20,305/74,677/940 is 83419940

Greatest Common Factor of 20,74,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,74,940 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 20,74,940 . The biggest common factor number is the GCF number.
So the greatest common factor 20,74,940 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 808/20, 305/74, 677/940

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 808/20, 305/74, 677/940?

Answer: LCM of Numerators as per given numbers 808/20, 305/74, 677/940 is

LCM of Numerators i.e. for 808,305,677 is 166839880

GCF of denominators i.e. for 20,74,940 is 2.

Thus, LCM of Fractions is 83419940.Finally, LCM of Fractions for 808/20, 305/74, 677/940 is 83419940.