Least Common Multiple of 2631/106, 7732/1098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2631/106, 7732/1098 quickly i.e. 10171446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2631/106, 7732/1098 is 10171446.

LCM(2631/106, 7732/1098) = 10171446

LCM of 2631/106, 7732/1098

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 2631/106,7732/1098

Given numbers are 2631/106,7732/1098

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 2631,7732

Least Common Multiple of Numerators i.e. LCM of 2631,7732 is 20342892.

GCF of Denominators means GCF of 106,1098 as per the given fractions.

GCF of 106,1098 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2631,7732

LCM of Fractions 2631/106,7732/1098 is 10171446

Given numbers has no common factors except 1. So, there LCM is their product i.e 20342892

Least Common Multiple of 2631,7732 with GCF Formula

Least Common Multiple of 2631,7732 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 2631,7732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2631,7732) = 1

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

GCF(2631,7732) x common factors =1 x 1 = 1

LCM(2631,7732) = ( 2631 × 7732 ) / 1

LCM(2631,7732) = 20342892 / 1

LCM(2631,7732) = 20342892


Lets's calculate GCF of 106,1098

2 106, 1098
53, 549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20342892/2

Therefore the LCM of Fractions 2631/106,7732/1098 is 10171446

Greatest Common Factor of 106,1098 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,1098 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 1098

List of positive integer factors of 1098 that divides 1098 without a remainder.

1,2,3,6,9,18,61,122,183,366,549,1098

Greatest Common Factor

We found the factors 106,1098 . The biggest common factor number is the GCF number.
So the greatest common factor 106,1098 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 2631/106, 7732/1098

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 2631/106, 7732/1098?

Answer: LCM of Numerators as per given numbers 2631/106, 7732/1098 is

LCM of Numerators i.e. for 2631,7732 is 20342892

GCF of denominators i.e. for 106,1098 is 2.

Thus, LCM of Fractions is 10171446.Finally, LCM of Fractions for 2631/106, 7732/1098 is 10171446.