Least Common Multiple of 766/495, 733/659, 763/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/495, 733/659, 763/344 quickly i.e. 428407714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/495, 733/659, 763/344 is 428407714.

LCM(766/495, 733/659, 763/344) = 428407714

LCM of 766/495, 733/659, 763/344

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 766/495,733/659,763/344

Given numbers are 766/495,733/659,763/344

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 766,733,763

Least Common Multiple of Numerators i.e. LCM of 766,733,763 is 428407714.

GCF of Denominators means GCF of 495,659,344 as per the given fractions.

GCF of 495,659,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,733,763

LCM of Fractions 766/495,733/659,763/344 is 428407714

Given numbers has no common factors except 1. So, there LCM is their product i.e 428407714

Least Common Multiple of 766,733,763 with GCF Formula

Least Common Multiple of 766,733,763 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 766,733,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,733,763) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(766,733,763) x common factors =1 x 1 = 1

LCM(766,733,763) = ( 766 × 733 × 763 ) / 1

LCM(766,733,763) = 428407714 / 1

LCM(766,733,763) = 428407714


Lets's calculate GCF of 495,659,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428407714/1

Therefore the LCM of Fractions 766/495,733/659,763/344 is 428407714

Greatest Common Factor of 495,659,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,659,344 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 495,659,344 . The biggest common factor number is the GCF number.
So the greatest common factor 495,659,344 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 766/495, 733/659, 763/344

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 766/495, 733/659, 763/344?

Answer: LCM of Numerators as per given numbers 766/495, 733/659, 763/344 is

LCM of Numerators i.e. for 766,733,763 is 428407714

GCF of denominators i.e. for 495,659,344 is 1.

Thus, LCM of Fractions is 428407714.Finally, LCM of Fractions for 766/495, 733/659, 763/344 is 428407714.