Least Common Multiple of 767/759, 6645/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/759, 6645/407 quickly i.e. 5096715/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/759, 6645/407 is 5096715/11.

LCM(767/759, 6645/407) = 5096715/11

LCM of 767/759, 6645/407

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 767/759,6645/407

Given numbers are 767/759,6645/407

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 767,6645

Least Common Multiple of Numerators i.e. LCM of 767,6645 is 5096715.

GCF of Denominators means GCF of 759,407 as per the given fractions.

GCF of 759,407 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,6645

LCM of Fractions 767/759,6645/407 is 5096715/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 5096715

Least Common Multiple of 767,6645 with GCF Formula

Least Common Multiple of 767,6645 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 767,6645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,6645) = 1

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

GCF(767,6645) x common factors =1 x 1 = 1

LCM(767,6645) = ( 767 × 6645 ) / 1

LCM(767,6645) = 5096715 / 1

LCM(767,6645) = 5096715


Lets's calculate GCF of 759,407

11 759, 407
69, 37

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5096715/11

Therefore the LCM of Fractions 767/759,6645/407 is 5096715/11

Greatest Common Factor of 759,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,407 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 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 759,407 . The biggest common factor number is the GCF number.
So the greatest common factor 759,407 is 11.


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 767/759, 6645/407

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 767/759, 6645/407?

Answer: LCM of Numerators as per given numbers 767/759, 6645/407 is

LCM of Numerators i.e. for 767,6645 is 5096715

GCF of denominators i.e. for 759,407 is 11.

Thus, LCM of Fractions is 5096715/11.Finally, LCM of Fractions for 767/759, 6645/407 is 5096715/11.