Least Common Multiple of 14/424, 9896/2677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/424, 9896/2677 quickly i.e. 69272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/424, 9896/2677 is 69272.

LCM(14/424, 9896/2677) = 69272

LCM of 14/424, 9896/2677

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 14/424,9896/2677

Given numbers are 14/424,9896/2677

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 14,9896

Least Common Multiple of Numerators i.e. LCM of 14,9896 is 69272.

GCF of Denominators means GCF of 424,2677 as per the given fractions.

GCF of 424,2677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,9896

LCM of Fractions 14/424,9896/2677 is 69272

2 14, 9896
7, 4948

∴ So the LCM of the given numbers is 2 x 7 x 4948 = 69272

Least Common Multiple of 14,9896 with GCF Formula

Least Common Multiple of 14,9896 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 14,9896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,9896) = 2

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

GCF(14,9896) x common factors =2 x 1 = 2

LCM(14,9896) = ( 14 × 9896 ) / 2

LCM(14,9896) = 138544 / 2

LCM(14,9896) = 69272


Lets's calculate GCF of 424,2677

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69272/1

Therefore the LCM of Fractions 14/424,9896/2677 is 69272

Greatest Common Factor of 424,2677 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,2677 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 2677

List of positive integer factors of 2677 that divides 2677 without a remainder.

1,2677

Greatest Common Factor

We found the factors 424,2677 . The biggest common factor number is the GCF number.
So the greatest common factor 424,2677 is 1.


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 14/424, 9896/2677

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 14/424, 9896/2677?

Answer: LCM of Numerators as per given numbers 14/424, 9896/2677 is

LCM of Numerators i.e. for 14,9896 is 69272

GCF of denominators i.e. for 424,2677 is 1.

Thus, LCM of Fractions is 69272.Finally, LCM of Fractions for 14/424, 9896/2677 is 69272.