Least Common Multiple of 7863/342, 2178/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7863/342, 2178/254 quickly i.e. 2854269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7863/342, 2178/254 is 2854269.

LCM(7863/342, 2178/254) = 2854269

LCM of 7863/342, 2178/254

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 7863/342,2178/254

Given numbers are 7863/342,2178/254

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 7863,2178

Least Common Multiple of Numerators i.e. LCM of 7863,2178 is 5708538.

GCF of Denominators means GCF of 342,254 as per the given fractions.

GCF of 342,254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7863,2178

LCM of Fractions 7863/342,2178/254 is 2854269

3 7863, 2178
2621, 726

∴ So the LCM of the given numbers is 3 x 2621 x 726 = 5708538

Least Common Multiple of 7863,2178 with GCF Formula

Least Common Multiple of 7863,2178 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 7863,2178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7863,2178) = 3

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

GCF(7863,2178) x common factors =3 x 1 = 3

LCM(7863,2178) = ( 7863 × 2178 ) / 3

LCM(7863,2178) = 17125614 / 3

LCM(7863,2178) = 5708538


Lets's calculate GCF of 342,254

2 342, 254
171, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5708538/2

Therefore the LCM of Fractions 7863/342,2178/254 is 2854269

Greatest Common Factor of 342,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,254 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 342,254 . The biggest common factor number is the GCF number.
So the greatest common factor 342,254 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 7863/342, 2178/254

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 7863/342, 2178/254?

Answer: LCM of Numerators as per given numbers 7863/342, 2178/254 is

LCM of Numerators i.e. for 7863,2178 is 5708538

GCF of denominators i.e. for 342,254 is 2.

Thus, LCM of Fractions is 2854269.Finally, LCM of Fractions for 7863/342, 2178/254 is 2854269.