Least Common Multiple of 50/61, 69/48, 60/47, 36/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/61, 69/48, 60/47, 36/800 quickly i.e. 20700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/61, 69/48, 60/47, 36/800 is 20700.

LCM(50/61, 69/48, 60/47, 36/800) = 20700

LCM of 50/61, 69/48, 60/47, 36/800

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 50/61,69/48,60/47,36/800

Given numbers are 50/61,69/48,60/47,36/800

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 50,69,60,36

Least Common Multiple of Numerators i.e. LCM of 50,69,60,36 is 20700.

GCF of Denominators means GCF of 61,48,47,800 as per the given fractions.

GCF of 61,48,47,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,69,60,36

LCM of Fractions 50/61,69/48,60/47,36/800 is 20700

2 50, 69, 60, 36
2 25, 69, 30, 18
3 25, 69, 15, 9
5 25, 23, 5, 3
1, 23, 5, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 23 x 5 x 3 = 20700

Least Common Multiple of 50,69,60,36 with GCF Formula

Least Common Multiple of 50,69,60,36 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 50,69,60,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,69,60,36) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(50,69,60,36) x common factors =1 x 360 = 360

LCM(50,69,60,36) = ( 50 × 69 × 60 × 36 ) / 360

LCM(50,69,60,36) = 7452000 / 360

LCM(50,69,60,36) = 20700


Lets's calculate GCF of 61,48,47,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20700/1

Therefore the LCM of Fractions 50/61,69/48,60/47,36/800 is 20700

Greatest Common Factor of 61,48,47,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,48,47,800 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 61,48,47,800 . The biggest common factor number is the GCF number.
So the greatest common factor 61,48,47,800 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 50/61, 69/48, 60/47, 36/800

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 50/61, 69/48, 60/47, 36/800?

Answer: LCM of Numerators as per given numbers 50/61, 69/48, 60/47, 36/800 is

LCM of Numerators i.e. for 50,69,60,36 is 20700

GCF of denominators i.e. for 61,48,47,800 is 1.

Thus, LCM of Fractions is 20700.Finally, LCM of Fractions for 50/61, 69/48, 60/47, 36/800 is 20700.