Least Common Multiple of 100/28, 499/9978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/28, 499/9978 quickly i.e. 24950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/28, 499/9978 is 24950.

LCM(100/28, 499/9978) = 24950

LCM of 100/28, 499/9978

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 100/28,499/9978

Given numbers are 100/28,499/9978

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 100,499

Least Common Multiple of Numerators i.e. LCM of 100,499 is 49900.

GCF of Denominators means GCF of 28,9978 as per the given fractions.

GCF of 28,9978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,499

LCM of Fractions 100/28,499/9978 is 24950

Given numbers has no common factors except 1. So, there LCM is their product i.e 49900

Least Common Multiple of 100,499 with GCF Formula

Least Common Multiple of 100,499 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 100,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,499) = 1

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

GCF(100,499) x common factors =1 x 1 = 1

LCM(100,499) = ( 100 × 499 ) / 1

LCM(100,499) = 49900 / 1

LCM(100,499) = 49900


Lets's calculate GCF of 28,9978

2 28, 9978
14, 4989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49900/2

Therefore the LCM of Fractions 100/28,499/9978 is 24950

Greatest Common Factor of 28,9978 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,9978 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 9978

List of positive integer factors of 9978 that divides 9978 without a remainder.

1,2,3,6,1663,3326,4989,9978

Greatest Common Factor

We found the factors 28,9978 . The biggest common factor number is the GCF number.
So the greatest common factor 28,9978 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 100/28, 499/9978

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 100/28, 499/9978?

Answer: LCM of Numerators as per given numbers 100/28, 499/9978 is

LCM of Numerators i.e. for 100,499 is 49900

GCF of denominators i.e. for 28,9978 is 2.

Thus, LCM of Fractions is 24950.Finally, LCM of Fractions for 100/28, 499/9978 is 24950.