Least Common Multiple of 50/23, 45/82, 56/55, 30/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/23, 45/82, 56/55, 30/868 quickly i.e. 12600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/23, 45/82, 56/55, 30/868 is 12600.

LCM(50/23, 45/82, 56/55, 30/868) = 12600

LCM of 50/23, 45/82, 56/55, 30/868

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 50/23,45/82,56/55,30/868

Given numbers are 50/23,45/82,56/55,30/868

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 50,45,56,30

Least Common Multiple of Numerators i.e. LCM of 50,45,56,30 is 12600.

GCF of Denominators means GCF of 23,82,55,868 as per the given fractions.

GCF of 23,82,55,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,45,56,30

LCM of Fractions 50/23,45/82,56/55,30/868 is 12600

2 50, 45, 56, 30
3 25, 45, 28, 15
5 25, 5, 28, 15
1, 5, 28, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 5 x 28 x 3 = 12600

Least Common Multiple of 50,45,56,30 with GCF Formula

Least Common Multiple of 50,45,56,30 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 50,45,56,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,45,56,30) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(50,45,56,30) x common factors =1 x 300 = 300

LCM(50,45,56,30) = ( 50 × 45 × 56 × 30 ) / 300

LCM(50,45,56,30) = 3780000 / 300

LCM(50,45,56,30) = 12600


Lets's calculate GCF of 23,82,55,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12600/1

Therefore the LCM of Fractions 50/23,45/82,56/55,30/868 is 12600

Greatest Common Factor of 23,82,55,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,82,55,868 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 23,82,55,868 . The biggest common factor number is the GCF number.
So the greatest common factor 23,82,55,868 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 50/23, 45/82, 56/55, 30/868

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 50/23, 45/82, 56/55, 30/868?

Answer: LCM of Numerators as per given numbers 50/23, 45/82, 56/55, 30/868 is

LCM of Numerators i.e. for 50,45,56,30 is 12600

GCF of denominators i.e. for 23,82,55,868 is 1.

Thus, LCM of Fractions is 12600.Finally, LCM of Fractions for 50/23, 45/82, 56/55, 30/868 is 12600.