Least Common Multiple of 108/676, 2429/7112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/676, 2429/7112 quickly i.e. 65583 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/676, 2429/7112 is 65583.

LCM(108/676, 2429/7112) = 65583

LCM of 108/676, 2429/7112

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 108/676,2429/7112

Given numbers are 108/676,2429/7112

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 108,2429

Least Common Multiple of Numerators i.e. LCM of 108,2429 is 262332.

GCF of Denominators means GCF of 676,7112 as per the given fractions.

GCF of 676,7112 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,2429

LCM of Fractions 108/676,2429/7112 is 65583

Given numbers has no common factors except 1. So, there LCM is their product i.e 262332

Least Common Multiple of 108,2429 with GCF Formula

Least Common Multiple of 108,2429 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 108,2429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,2429) = 1

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

GCF(108,2429) x common factors =1 x 1 = 1

LCM(108,2429) = ( 108 × 2429 ) / 1

LCM(108,2429) = 262332 / 1

LCM(108,2429) = 262332


Lets's calculate GCF of 676,7112

2 676, 7112
2 338, 3556
169, 1778

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262332/4

Therefore the LCM of Fractions 108/676,2429/7112 is 65583

Greatest Common Factor of 676,7112 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,7112 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 7112

List of positive integer factors of 7112 that divides 7112 without a remainder.

1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112

Greatest Common Factor

We found the factors 676,7112 . The biggest common factor number is the GCF number.
So the greatest common factor 676,7112 is 4.


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 108/676, 2429/7112

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 108/676, 2429/7112?

Answer: LCM of Numerators as per given numbers 108/676, 2429/7112 is

LCM of Numerators i.e. for 108,2429 is 262332

GCF of denominators i.e. for 676,7112 is 4.

Thus, LCM of Fractions is 65583.Finally, LCM of Fractions for 108/676, 2429/7112 is 65583.