Least Common Multiple of 7642/278, 1678/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7642/278, 1678/294 quickly i.e. 3205819 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7642/278, 1678/294 is 3205819.

LCM(7642/278, 1678/294) = 3205819

LCM of 7642/278, 1678/294

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 7642/278,1678/294

Given numbers are 7642/278,1678/294

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 7642,1678

Least Common Multiple of Numerators i.e. LCM of 7642,1678 is 6411638.

GCF of Denominators means GCF of 278,294 as per the given fractions.

GCF of 278,294 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7642,1678

LCM of Fractions 7642/278,1678/294 is 3205819

2 7642, 1678
3821, 839

∴ So the LCM of the given numbers is 2 x 3821 x 839 = 6411638

Least Common Multiple of 7642,1678 with GCF Formula

Least Common Multiple of 7642,1678 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 7642,1678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7642,1678) = 2

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

GCF(7642,1678) x common factors =2 x 1 = 2

LCM(7642,1678) = ( 7642 × 1678 ) / 2

LCM(7642,1678) = 12823276 / 2

LCM(7642,1678) = 6411638


Lets's calculate GCF of 278,294

2 278, 294
139, 147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6411638/2

Therefore the LCM of Fractions 7642/278,1678/294 is 3205819

Greatest Common Factor of 278,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,294 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 278,294 . The biggest common factor number is the GCF number.
So the greatest common factor 278,294 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 7642/278, 1678/294

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 7642/278, 1678/294?

Answer: LCM of Numerators as per given numbers 7642/278, 1678/294 is

LCM of Numerators i.e. for 7642,1678 is 6411638

GCF of denominators i.e. for 278,294 is 2.

Thus, LCM of Fractions is 3205819.Finally, LCM of Fractions for 7642/278, 1678/294 is 3205819.