Least Common Multiple of 78/148, 7401/2643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/148, 7401/2643 quickly i.e. 192426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/148, 7401/2643 is 192426.

LCM(78/148, 7401/2643) = 192426

LCM of 78/148, 7401/2643

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 78/148,7401/2643

Given numbers are 78/148,7401/2643

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 78,7401

Least Common Multiple of Numerators i.e. LCM of 78,7401 is 192426.

GCF of Denominators means GCF of 148,2643 as per the given fractions.

GCF of 148,2643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,7401

LCM of Fractions 78/148,7401/2643 is 192426

3 78, 7401
26, 2467

∴ So the LCM of the given numbers is 3 x 26 x 2467 = 192426

Least Common Multiple of 78,7401 with GCF Formula

Least Common Multiple of 78,7401 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 78,7401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,7401) = 3

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

GCF(78,7401) x common factors =3 x 1 = 3

LCM(78,7401) = ( 78 × 7401 ) / 3

LCM(78,7401) = 577278 / 3

LCM(78,7401) = 192426


Lets's calculate GCF of 148,2643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192426/1

Therefore the LCM of Fractions 78/148,7401/2643 is 192426

Greatest Common Factor of 148,2643 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,2643 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 2643

List of positive integer factors of 2643 that divides 2643 without a remainder.

1,3,881,2643

Greatest Common Factor

We found the factors 148,2643 . The biggest common factor number is the GCF number.
So the greatest common factor 148,2643 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 78/148, 7401/2643

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 78/148, 7401/2643?

Answer: LCM of Numerators as per given numbers 78/148, 7401/2643 is

LCM of Numerators i.e. for 78,7401 is 192426

GCF of denominators i.e. for 148,2643 is 1.

Thus, LCM of Fractions is 192426.Finally, LCM of Fractions for 78/148, 7401/2643 is 192426.