Least Common Multiple of 50/685, 599/43, 920/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/685, 599/43, 920/768 quickly i.e. 2755400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/685, 599/43, 920/768 is 2755400.

LCM(50/685, 599/43, 920/768) = 2755400

LCM of 50/685, 599/43, 920/768

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 50/685,599/43,920/768

Given numbers are 50/685,599/43,920/768

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 50,599,920

Least Common Multiple of Numerators i.e. LCM of 50,599,920 is 2755400.

GCF of Denominators means GCF of 685,43,768 as per the given fractions.

GCF of 685,43,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,599,920

LCM of Fractions 50/685,599/43,920/768 is 2755400

2 50, 599, 920
5 25, 599, 460
5, 599, 92

∴ So the LCM of the given numbers is 2 x 5 x 5 x 599 x 92 = 2755400

Least Common Multiple of 50,599,920 with GCF Formula

Least Common Multiple of 50,599,920 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 50,599,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,599,920) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(50,599,920) x common factors =1 x 10 = 10

LCM(50,599,920) = ( 50 × 599 × 920 ) / 10

LCM(50,599,920) = 27554000 / 10

LCM(50,599,920) = 2755400


Lets's calculate GCF of 685,43,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2755400/1

Therefore the LCM of Fractions 50/685,599/43,920/768 is 2755400

Greatest Common Factor of 685,43,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,43,768 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 685,43,768 . The biggest common factor number is the GCF number.
So the greatest common factor 685,43,768 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 50/685, 599/43, 920/768

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 50/685, 599/43, 920/768?

Answer: LCM of Numerators as per given numbers 50/685, 599/43, 920/768 is

LCM of Numerators i.e. for 50,599,920 is 2755400

GCF of denominators i.e. for 685,43,768 is 1.

Thus, LCM of Fractions is 2755400.Finally, LCM of Fractions for 50/685, 599/43, 920/768 is 2755400.