Least Common Multiple of 993/98, 126/1918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 993/98, 126/1918 quickly i.e. 2979 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 993/98, 126/1918 is 2979.

LCM(993/98, 126/1918) = 2979

LCM of 993/98, 126/1918

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 993/98,126/1918

Given numbers are 993/98,126/1918

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 993,126

Least Common Multiple of Numerators i.e. LCM of 993,126 is 41706.

GCF of Denominators means GCF of 98,1918 as per the given fractions.

GCF of 98,1918 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 993,126

LCM of Fractions 993/98,126/1918 is 2979

3 993, 126
331, 42

∴ So the LCM of the given numbers is 3 x 331 x 42 = 41706

Least Common Multiple of 993,126 with GCF Formula

Least Common Multiple of 993,126 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 993,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,126) = 3

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

GCF(993,126) x common factors =3 x 1 = 3

LCM(993,126) = ( 993 × 126 ) / 3

LCM(993,126) = 125118 / 3

LCM(993,126) = 41706


Lets's calculate GCF of 98,1918

2 98, 1918
7 49, 959
7, 137

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41706/14

Therefore the LCM of Fractions 993/98,126/1918 is 2979

Greatest Common Factor of 98,1918 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,1918 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 1918

List of positive integer factors of 1918 that divides 1918 without a remainder.

1,2,7,14,137,274,959,1918

Greatest Common Factor

We found the factors 98,1918 . The biggest common factor number is the GCF number.
So the greatest common factor 98,1918 is 14.


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 993/98, 126/1918

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 993/98, 126/1918?

Answer: LCM of Numerators as per given numbers 993/98, 126/1918 is

LCM of Numerators i.e. for 993,126 is 41706

GCF of denominators i.e. for 98,1918 is 14.

Thus, LCM of Fractions is 2979.Finally, LCM of Fractions for 993/98, 126/1918 is 2979.