Least Common Multiple of 50/78, 43/42, 11/87, 96/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/78, 43/42, 11/87, 96/933 quickly i.e. 378400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/78, 43/42, 11/87, 96/933 is 378400.

LCM(50/78, 43/42, 11/87, 96/933) = 378400

LCM of 50/78, 43/42, 11/87, 96/933

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 50/78,43/42,11/87,96/933

Given numbers are 50/78,43/42,11/87,96/933

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 50,43,11,96

Least Common Multiple of Numerators i.e. LCM of 50,43,11,96 is 1135200.

GCF of Denominators means GCF of 78,42,87,933 as per the given fractions.

GCF of 78,42,87,933 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,43,11,96

LCM of Fractions 50/78,43/42,11/87,96/933 is 378400

2 50, 43, 11, 96
25, 43, 11, 48

∴ So the LCM of the given numbers is 2 x 25 x 43 x 11 x 48 = 1135200

Least Common Multiple of 50,43,11,96 with GCF Formula

Least Common Multiple of 50,43,11,96 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 50,43,11,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,43,11,96) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(50,43,11,96) x common factors =1 x 2 = 2

LCM(50,43,11,96) = ( 50 × 43 × 11 × 96 ) / 2

LCM(50,43,11,96) = 2270400 / 2

LCM(50,43,11,96) = 1135200


Lets's calculate GCF of 78,42,87,933

3 78, 42, 87, 933
26, 14, 29, 311

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1135200/3

Therefore the LCM of Fractions 50/78,43/42,11/87,96/933 is 378400

Greatest Common Factor of 78,42,87,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,42,87,933 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 78,42,87,933 . The biggest common factor number is the GCF number.
So the greatest common factor 78,42,87,933 is 3.


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 50/78, 43/42, 11/87, 96/933

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 50/78, 43/42, 11/87, 96/933?

Answer: LCM of Numerators as per given numbers 50/78, 43/42, 11/87, 96/933 is

LCM of Numerators i.e. for 50,43,11,96 is 1135200

GCF of denominators i.e. for 78,42,87,933 is 3.

Thus, LCM of Fractions is 378400.Finally, LCM of Fractions for 50/78, 43/42, 11/87, 96/933 is 378400.