Least Common Multiple of 50/38, 69/83, 78/68, 23/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/38, 69/83, 78/68, 23/197 quickly i.e. 44850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/38, 69/83, 78/68, 23/197 is 44850.

LCM(50/38, 69/83, 78/68, 23/197) = 44850

LCM of 50/38, 69/83, 78/68, 23/197

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 50/38,69/83,78/68,23/197

Given numbers are 50/38,69/83,78/68,23/197

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 50,69,78,23

Least Common Multiple of Numerators i.e. LCM of 50,69,78,23 is 44850.

GCF of Denominators means GCF of 38,83,68,197 as per the given fractions.

GCF of 38,83,68,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,69,78,23

LCM of Fractions 50/38,69/83,78/68,23/197 is 44850

2 50, 69, 78, 23
3 25, 69, 39, 23
23 25, 23, 13, 23
25, 1, 13, 1

∴ So the LCM of the given numbers is 2 x 3 x 23 x 25 x 1 x 13 x 1 = 44850

Least Common Multiple of 50,69,78,23 with GCF Formula

Least Common Multiple of 50,69,78,23 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 50,69,78,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,69,78,23) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(50,69,78,23) x common factors =1 x 138 = 138

LCM(50,69,78,23) = ( 50 × 69 × 78 × 23 ) / 138

LCM(50,69,78,23) = 6189300 / 138

LCM(50,69,78,23) = 44850


Lets's calculate GCF of 38,83,68,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44850/1

Therefore the LCM of Fractions 50/38,69/83,78/68,23/197 is 44850

Greatest Common Factor of 38,83,68,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,83,68,197 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 38,83,68,197 . The biggest common factor number is the GCF number.
So the greatest common factor 38,83,68,197 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 50/38, 69/83, 78/68, 23/197

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 50/38, 69/83, 78/68, 23/197?

Answer: LCM of Numerators as per given numbers 50/38, 69/83, 78/68, 23/197 is

LCM of Numerators i.e. for 50,69,78,23 is 44850

GCF of denominators i.e. for 38,83,68,197 is 1.

Thus, LCM of Fractions is 44850.Finally, LCM of Fractions for 50/38, 69/83, 78/68, 23/197 is 44850.