Least Common Multiple of 50/121, 684/90, 800/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/121, 684/90, 800/513 quickly i.e. 136800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/121, 684/90, 800/513 is 136800.

LCM(50/121, 684/90, 800/513) = 136800

LCM of 50/121, 684/90, 800/513

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 50/121,684/90,800/513

Given numbers are 50/121,684/90,800/513

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 50,684,800

Least Common Multiple of Numerators i.e. LCM of 50,684,800 is 136800.

GCF of Denominators means GCF of 121,90,513 as per the given fractions.

GCF of 121,90,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,684,800

LCM of Fractions 50/121,684/90,800/513 is 136800

2 50, 684, 800
2 25, 342, 400
5 25, 171, 200
5 5, 171, 40
1, 171, 8

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 171 x 8 = 136800

Least Common Multiple of 50,684,800 with GCF Formula

Least Common Multiple of 50,684,800 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 50,684,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,684,800) = 2

common factors(in case of two or more numbers have common factors) = 100

GCF(50,684,800) x common factors =2 x 100 = 200

LCM(50,684,800) = ( 50 × 684 × 800 ) / 200

LCM(50,684,800) = 27360000 / 200

LCM(50,684,800) = 136800


Lets's calculate GCF of 121,90,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136800/1

Therefore the LCM of Fractions 50/121,684/90,800/513 is 136800

Greatest Common Factor of 121,90,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,90,513 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 121,90,513 . The biggest common factor number is the GCF number.
So the greatest common factor 121,90,513 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 50/121, 684/90, 800/513

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 50/121, 684/90, 800/513?

Answer: LCM of Numerators as per given numbers 50/121, 684/90, 800/513 is

LCM of Numerators i.e. for 50,684,800 is 136800

GCF of denominators i.e. for 121,90,513 is 1.

Thus, LCM of Fractions is 136800.Finally, LCM of Fractions for 50/121, 684/90, 800/513 is 136800.