Least Common Multiple of 78/943, 5820/3526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/943, 5820/3526 quickly i.e. 75660/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/943, 5820/3526 is 75660/41.

LCM(78/943, 5820/3526) = 75660/41

LCM of 78/943, 5820/3526

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 78/943,5820/3526

Given numbers are 78/943,5820/3526

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 78,5820

Least Common Multiple of Numerators i.e. LCM of 78,5820 is 75660.

GCF of Denominators means GCF of 943,3526 as per the given fractions.

GCF of 943,3526 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,5820

LCM of Fractions 78/943,5820/3526 is 75660/41

2 78, 5820
3 39, 2910
13, 970

∴ So the LCM of the given numbers is 2 x 3 x 13 x 970 = 75660

Least Common Multiple of 78,5820 with GCF Formula

Least Common Multiple of 78,5820 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 78,5820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,5820) = 6

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

GCF(78,5820) x common factors =6 x 1 = 6

LCM(78,5820) = ( 78 × 5820 ) / 6

LCM(78,5820) = 453960 / 6

LCM(78,5820) = 75660


Lets's calculate GCF of 943,3526

41 943, 3526
23, 86

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75660/41

Therefore the LCM of Fractions 78/943,5820/3526 is 75660/41

Greatest Common Factor of 943,3526 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,3526 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 3526

List of positive integer factors of 3526 that divides 3526 without a remainder.

1,2,41,43,82,86,1763,3526

Greatest Common Factor

We found the factors 943,3526 . The biggest common factor number is the GCF number.
So the greatest common factor 943,3526 is 41.


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 78/943, 5820/3526

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 78/943, 5820/3526?

Answer: LCM of Numerators as per given numbers 78/943, 5820/3526 is

LCM of Numerators i.e. for 78,5820 is 75660

GCF of denominators i.e. for 943,3526 is 41.

Thus, LCM of Fractions is 75660/41.Finally, LCM of Fractions for 78/943, 5820/3526 is 75660/41.