Least Common Multiple of 2078/97, 2376/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2078/97, 2376/842 quickly i.e. 2468664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2078/97, 2376/842 is 2468664.

LCM(2078/97, 2376/842) = 2468664

LCM of 2078/97, 2376/842

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 2078/97,2376/842

Given numbers are 2078/97,2376/842

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 2078,2376

Least Common Multiple of Numerators i.e. LCM of 2078,2376 is 2468664.

GCF of Denominators means GCF of 97,842 as per the given fractions.

GCF of 97,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2078,2376

LCM of Fractions 2078/97,2376/842 is 2468664

2 2078, 2376
1039, 1188

∴ So the LCM of the given numbers is 2 x 1039 x 1188 = 2468664

Least Common Multiple of 2078,2376 with GCF Formula

Least Common Multiple of 2078,2376 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 2078,2376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2078,2376) = 2

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

GCF(2078,2376) x common factors =2 x 1 = 2

LCM(2078,2376) = ( 2078 × 2376 ) / 2

LCM(2078,2376) = 4937328 / 2

LCM(2078,2376) = 2468664


Lets's calculate GCF of 97,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2468664/1

Therefore the LCM of Fractions 2078/97,2376/842 is 2468664

Greatest Common Factor of 97,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,842 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 97,842 . The biggest common factor number is the GCF number.
So the greatest common factor 97,842 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2078/97, 2376/842

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 2078/97, 2376/842?

Answer: LCM of Numerators as per given numbers 2078/97, 2376/842 is

LCM of Numerators i.e. for 2078,2376 is 2468664

GCF of denominators i.e. for 97,842 is 1.

Thus, LCM of Fractions is 2468664.Finally, LCM of Fractions for 2078/97, 2376/842 is 2468664.