Least Common Multiple of 764/759, 685/909, 548/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/759, 685/909, 548/863 quickly i.e. 523340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/759, 685/909, 548/863 is 523340.

LCM(764/759, 685/909, 548/863) = 523340

LCM of 764/759, 685/909, 548/863

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 764/759,685/909,548/863

Given numbers are 764/759,685/909,548/863

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 764,685,548

Least Common Multiple of Numerators i.e. LCM of 764,685,548 is 523340.

GCF of Denominators means GCF of 759,909,863 as per the given fractions.

GCF of 759,909,863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,685,548

LCM of Fractions 764/759,685/909,548/863 is 523340

2 764, 685, 548
2 382, 685, 274
137 191, 685, 137
191, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 137 x 191 x 5 x 1 = 523340

Least Common Multiple of 764,685,548 with GCF Formula

Least Common Multiple of 764,685,548 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 764,685,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,685,548) = 1

common factors(in case of two or more numbers have common factors) = 548

GCF(764,685,548) x common factors =1 x 548 = 548

LCM(764,685,548) = ( 764 × 685 × 548 ) / 548

LCM(764,685,548) = 286790320 / 548

LCM(764,685,548) = 523340


Lets's calculate GCF of 759,909,863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523340/1

Therefore the LCM of Fractions 764/759,685/909,548/863 is 523340

Greatest Common Factor of 759,909,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,909,863 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 759,909,863 . The biggest common factor number is the GCF number.
So the greatest common factor 759,909,863 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 764/759, 685/909, 548/863

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 764/759, 685/909, 548/863?

Answer: LCM of Numerators as per given numbers 764/759, 685/909, 548/863 is

LCM of Numerators i.e. for 764,685,548 is 523340

GCF of denominators i.e. for 759,909,863 is 1.

Thus, LCM of Fractions is 523340.Finally, LCM of Fractions for 764/759, 685/909, 548/863 is 523340.