Least Common Multiple of 50/26, 993/12, 289/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/26, 993/12, 289/156 quickly i.e. 7174425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/26, 993/12, 289/156 is 7174425.

LCM(50/26, 993/12, 289/156) = 7174425

LCM of 50/26, 993/12, 289/156

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 50/26,993/12,289/156

Given numbers are 50/26,993/12,289/156

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 50,993,289

Least Common Multiple of Numerators i.e. LCM of 50,993,289 is 14348850.

GCF of Denominators means GCF of 26,12,156 as per the given fractions.

GCF of 26,12,156 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,993,289

LCM of Fractions 50/26,993/12,289/156 is 7174425

Given numbers has no common factors except 1. So, there LCM is their product i.e 14348850

Least Common Multiple of 50,993,289 with GCF Formula

Least Common Multiple of 50,993,289 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 50,993,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,993,289) = 1

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

GCF(50,993,289) x common factors =1 x 1 = 1

LCM(50,993,289) = ( 50 × 993 × 289 ) / 1

LCM(50,993,289) = 14348850 / 1

LCM(50,993,289) = 14348850


Lets's calculate GCF of 26,12,156

2 26, 12, 156
13, 6, 78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14348850/2

Therefore the LCM of Fractions 50/26,993/12,289/156 is 7174425

Greatest Common Factor of 26,12,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,12,156 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 26,12,156 . The biggest common factor number is the GCF number.
So the greatest common factor 26,12,156 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 50/26, 993/12, 289/156

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 50/26, 993/12, 289/156?

Answer: LCM of Numerators as per given numbers 50/26, 993/12, 289/156 is

LCM of Numerators i.e. for 50,993,289 is 14348850

GCF of denominators i.e. for 26,12,156 is 2.

Thus, LCM of Fractions is 7174425.Finally, LCM of Fractions for 50/26, 993/12, 289/156 is 7174425.