Least Common Multiple of 20/416, 403/114, 930/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/416, 403/114, 930/983 quickly i.e. 24180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/416, 403/114, 930/983 is 24180.

LCM(20/416, 403/114, 930/983) = 24180

LCM of 20/416, 403/114, 930/983

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 20/416,403/114,930/983

Given numbers are 20/416,403/114,930/983

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 20,403,930

Least Common Multiple of Numerators i.e. LCM of 20,403,930 is 24180.

GCF of Denominators means GCF of 416,114,983 as per the given fractions.

GCF of 416,114,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,403,930

LCM of Fractions 20/416,403/114,930/983 is 24180

2 20, 403, 930
5 10, 403, 465
31 2, 403, 93
2, 13, 3

∴ So the LCM of the given numbers is 2 x 5 x 31 x 2 x 13 x 3 = 24180

Least Common Multiple of 20,403,930 with GCF Formula

Least Common Multiple of 20,403,930 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 20,403,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,403,930) = 1

common factors(in case of two or more numbers have common factors) = 310

GCF(20,403,930) x common factors =1 x 310 = 310

LCM(20,403,930) = ( 20 × 403 × 930 ) / 310

LCM(20,403,930) = 7495800 / 310

LCM(20,403,930) = 24180


Lets's calculate GCF of 416,114,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24180/1

Therefore the LCM of Fractions 20/416,403/114,930/983 is 24180

Greatest Common Factor of 416,114,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,114,983 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 416,114,983 . The biggest common factor number is the GCF number.
So the greatest common factor 416,114,983 is 1.


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 20/416, 403/114, 930/983

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 20/416, 403/114, 930/983?

Answer: LCM of Numerators as per given numbers 20/416, 403/114, 930/983 is

LCM of Numerators i.e. for 20,403,930 is 24180

GCF of denominators i.e. for 416,114,983 is 1.

Thus, LCM of Fractions is 24180.Finally, LCM of Fractions for 20/416, 403/114, 930/983 is 24180.