Least Common Multiple of 764/30, 696/9627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/30, 696/9627 quickly i.e. 44312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/30, 696/9627 is 44312.

LCM(764/30, 696/9627) = 44312

LCM of 764/30, 696/9627

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 764/30,696/9627

Given numbers are 764/30,696/9627

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 764,696

Least Common Multiple of Numerators i.e. LCM of 764,696 is 132936.

GCF of Denominators means GCF of 30,9627 as per the given fractions.

GCF of 30,9627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,696

LCM of Fractions 764/30,696/9627 is 44312

2 764, 696
2 382, 348
191, 174

∴ So the LCM of the given numbers is 2 x 2 x 191 x 174 = 132936

Least Common Multiple of 764,696 with GCF Formula

Least Common Multiple of 764,696 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 764,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,696) = 4

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

GCF(764,696) x common factors =4 x 1 = 4

LCM(764,696) = ( 764 × 696 ) / 4

LCM(764,696) = 531744 / 4

LCM(764,696) = 132936


Lets's calculate GCF of 30,9627

3 30, 9627
10, 3209

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132936/3

Therefore the LCM of Fractions 764/30,696/9627 is 44312

Greatest Common Factor of 30,9627 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,9627 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 9627

List of positive integer factors of 9627 that divides 9627 without a remainder.

1,3,3209,9627

Greatest Common Factor

We found the factors 30,9627 . The biggest common factor number is the GCF number.
So the greatest common factor 30,9627 is 3.


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 764/30, 696/9627

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 764/30, 696/9627?

Answer: LCM of Numerators as per given numbers 764/30, 696/9627 is

LCM of Numerators i.e. for 764,696 is 132936

GCF of denominators i.e. for 30,9627 is 3.

Thus, LCM of Fractions is 44312.Finally, LCM of Fractions for 764/30, 696/9627 is 44312.