Least Common Multiple of 767/66, 687/7484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/66, 687/7484 quickly i.e. 526929/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/66, 687/7484 is 526929/2.

LCM(767/66, 687/7484) = 526929/2

LCM of 767/66, 687/7484

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 767/66,687/7484

Given numbers are 767/66,687/7484

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 767,687

Least Common Multiple of Numerators i.e. LCM of 767,687 is 526929.

GCF of Denominators means GCF of 66,7484 as per the given fractions.

GCF of 66,7484 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,687

LCM of Fractions 767/66,687/7484 is 526929/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 526929

Least Common Multiple of 767,687 with GCF Formula

Least Common Multiple of 767,687 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 767,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,687) = 1

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

GCF(767,687) x common factors =1 x 1 = 1

LCM(767,687) = ( 767 × 687 ) / 1

LCM(767,687) = 526929 / 1

LCM(767,687) = 526929


Lets's calculate GCF of 66,7484

2 66, 7484
33, 3742

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 526929/2

Therefore the LCM of Fractions 767/66,687/7484 is 526929/2

Greatest Common Factor of 66,7484 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,7484 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 7484

List of positive integer factors of 7484 that divides 7484 without a remainder.

1,2,4,1871,3742,7484

Greatest Common Factor

We found the factors 66,7484 . The biggest common factor number is the GCF number.
So the greatest common factor 66,7484 is 2.


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 767/66, 687/7484

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 767/66, 687/7484?

Answer: LCM of Numerators as per given numbers 767/66, 687/7484 is

LCM of Numerators i.e. for 767,687 is 526929

GCF of denominators i.e. for 66,7484 is 2.

Thus, LCM of Fractions is 526929/2.Finally, LCM of Fractions for 767/66, 687/7484 is 526929/2.