Least Common Multiple of 805/877, 302/517, 744/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 805/877, 302/517, 744/339 quickly i.e. 90436920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/877, 302/517, 744/339 is 90436920.

LCM(805/877, 302/517, 744/339) = 90436920

LCM of 805/877, 302/517, 744/339

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 805/877,302/517,744/339

Given numbers are 805/877,302/517,744/339

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 805,302,744

Least Common Multiple of Numerators i.e. LCM of 805,302,744 is 90436920.

GCF of Denominators means GCF of 877,517,339 as per the given fractions.

GCF of 877,517,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,302,744

LCM of Fractions 805/877,302/517,744/339 is 90436920

2 805, 302, 744
805, 151, 372

∴ So the LCM of the given numbers is 2 x 805 x 151 x 372 = 90436920

Least Common Multiple of 805,302,744 with GCF Formula

Least Common Multiple of 805,302,744 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 805,302,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,302,744) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(805,302,744) x common factors =1 x 2 = 2

LCM(805,302,744) = ( 805 × 302 × 744 ) / 2

LCM(805,302,744) = 180873840 / 2

LCM(805,302,744) = 90436920


Lets's calculate GCF of 877,517,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90436920/1

Therefore the LCM of Fractions 805/877,302/517,744/339 is 90436920

Greatest Common Factor of 877,517,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,517,339 By Matching Biggest Common Factor Method

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 877,517,339 . The biggest common factor number is the GCF number.
So the greatest common factor 877,517,339 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 805/877, 302/517, 744/339

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 805/877, 302/517, 744/339?

Answer: LCM of Numerators as per given numbers 805/877, 302/517, 744/339 is

LCM of Numerators i.e. for 805,302,744 is 90436920

GCF of denominators i.e. for 877,517,339 is 1.

Thus, LCM of Fractions is 90436920.Finally, LCM of Fractions for 805/877, 302/517, 744/339 is 90436920.