Least Common Multiple of 20/455, 3518/4990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/455, 3518/4990 quickly i.e. 7036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/455, 3518/4990 is 7036.

LCM(20/455, 3518/4990) = 7036

LCM of 20/455, 3518/4990

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 20/455,3518/4990

Given numbers are 20/455,3518/4990

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 20,3518

Least Common Multiple of Numerators i.e. LCM of 20,3518 is 35180.

GCF of Denominators means GCF of 455,4990 as per the given fractions.

GCF of 455,4990 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,3518

LCM of Fractions 20/455,3518/4990 is 7036

2 20, 3518
10, 1759

∴ So the LCM of the given numbers is 2 x 10 x 1759 = 35180

Least Common Multiple of 20,3518 with GCF Formula

Least Common Multiple of 20,3518 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 20,3518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,3518) = 2

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

GCF(20,3518) x common factors =2 x 1 = 2

LCM(20,3518) = ( 20 × 3518 ) / 2

LCM(20,3518) = 70360 / 2

LCM(20,3518) = 35180


Lets's calculate GCF of 455,4990

5 455, 4990
91, 998

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35180/5

Therefore the LCM of Fractions 20/455,3518/4990 is 7036

Greatest Common Factor of 455,4990 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,4990 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 4990

List of positive integer factors of 4990 that divides 4990 without a remainder.

1,2,5,10,499,998,2495,4990

Greatest Common Factor

We found the factors 455,4990 . The biggest common factor number is the GCF number.
So the greatest common factor 455,4990 is 5.


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 20/455, 3518/4990

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 20/455, 3518/4990?

Answer: LCM of Numerators as per given numbers 20/455, 3518/4990 is

LCM of Numerators i.e. for 20,3518 is 35180

GCF of denominators i.e. for 455,4990 is 5.

Thus, LCM of Fractions is 7036.Finally, LCM of Fractions for 20/455, 3518/4990 is 7036.