Least Common Multiple of 50/865, 43/739, 516/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/865, 43/739, 516/765 quickly i.e. 12900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/865, 43/739, 516/765 is 12900.

LCM(50/865, 43/739, 516/765) = 12900

LCM of 50/865, 43/739, 516/765

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 50/865,43/739,516/765

Given numbers are 50/865,43/739,516/765

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 50,43,516

Least Common Multiple of Numerators i.e. LCM of 50,43,516 is 12900.

GCF of Denominators means GCF of 865,739,765 as per the given fractions.

GCF of 865,739,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,43,516

LCM of Fractions 50/865,43/739,516/765 is 12900

2 50, 43, 516
43 25, 43, 258
25, 1, 6

∴ So the LCM of the given numbers is 2 x 43 x 25 x 1 x 6 = 12900

Least Common Multiple of 50,43,516 with GCF Formula

Least Common Multiple of 50,43,516 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 50,43,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,43,516) = 1

common factors(in case of two or more numbers have common factors) = 86

GCF(50,43,516) x common factors =1 x 86 = 86

LCM(50,43,516) = ( 50 × 43 × 516 ) / 86

LCM(50,43,516) = 1109400 / 86

LCM(50,43,516) = 12900


Lets's calculate GCF of 865,739,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12900/1

Therefore the LCM of Fractions 50/865,43/739,516/765 is 12900

Greatest Common Factor of 865,739,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,739,765 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 865,739,765 . The biggest common factor number is the GCF number.
So the greatest common factor 865,739,765 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/865, 43/739, 516/765

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 50/865, 43/739, 516/765?

Answer: LCM of Numerators as per given numbers 50/865, 43/739, 516/765 is

LCM of Numerators i.e. for 50,43,516 is 12900

GCF of denominators i.e. for 865,739,765 is 1.

Thus, LCM of Fractions is 12900.Finally, LCM of Fractions for 50/865, 43/739, 516/765 is 12900.