Least Common Multiple of 50/49, 54/84, 24/13, 55/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/49, 54/84, 24/13, 55/909 quickly i.e. 59400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/49, 54/84, 24/13, 55/909 is 59400.

LCM(50/49, 54/84, 24/13, 55/909) = 59400

LCM of 50/49, 54/84, 24/13, 55/909

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 50/49,54/84,24/13,55/909

Given numbers are 50/49,54/84,24/13,55/909

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 50,54,24,55

Least Common Multiple of Numerators i.e. LCM of 50,54,24,55 is 59400.

GCF of Denominators means GCF of 49,84,13,909 as per the given fractions.

GCF of 49,84,13,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,54,24,55

LCM of Fractions 50/49,54/84,24/13,55/909 is 59400

2 50, 54, 24, 55
3 25, 27, 12, 55
5 25, 9, 4, 55
5, 9, 4, 11

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 9 x 4 x 11 = 59400

Least Common Multiple of 50,54,24,55 with GCF Formula

Least Common Multiple of 50,54,24,55 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 50,54,24,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,54,24,55) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(50,54,24,55) x common factors =1 x 60 = 60

LCM(50,54,24,55) = ( 50 × 54 × 24 × 55 ) / 60

LCM(50,54,24,55) = 3564000 / 60

LCM(50,54,24,55) = 59400


Lets's calculate GCF of 49,84,13,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59400/1

Therefore the LCM of Fractions 50/49,54/84,24/13,55/909 is 59400

Greatest Common Factor of 49,84,13,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,84,13,909 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 49,84,13,909 . The biggest common factor number is the GCF number.
So the greatest common factor 49,84,13,909 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 50/49, 54/84, 24/13, 55/909

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 50/49, 54/84, 24/13, 55/909?

Answer: LCM of Numerators as per given numbers 50/49, 54/84, 24/13, 55/909 is

LCM of Numerators i.e. for 50,54,24,55 is 59400

GCF of denominators i.e. for 49,84,13,909 is 1.

Thus, LCM of Fractions is 59400.Finally, LCM of Fractions for 50/49, 54/84, 24/13, 55/909 is 59400.