Least Common Multiple of 691/96, 390/5102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 691/96, 390/5102 quickly i.e. 134745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 691/96, 390/5102 is 134745.

LCM(691/96, 390/5102) = 134745

LCM of 691/96, 390/5102

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 691/96,390/5102

Given numbers are 691/96,390/5102

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 691,390

Least Common Multiple of Numerators i.e. LCM of 691,390 is 269490.

GCF of Denominators means GCF of 96,5102 as per the given fractions.

GCF of 96,5102 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 691,390

LCM of Fractions 691/96,390/5102 is 134745

Given numbers has no common factors except 1. So, there LCM is their product i.e 269490

Least Common Multiple of 691,390 with GCF Formula

Least Common Multiple of 691,390 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 691,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,390) = 1

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

GCF(691,390) x common factors =1 x 1 = 1

LCM(691,390) = ( 691 × 390 ) / 1

LCM(691,390) = 269490 / 1

LCM(691,390) = 269490


Lets's calculate GCF of 96,5102

2 96, 5102
48, 2551

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269490/2

Therefore the LCM of Fractions 691/96,390/5102 is 134745

Greatest Common Factor of 96,5102 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,5102 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 5102

List of positive integer factors of 5102 that divides 5102 without a remainder.

1,2,2551,5102

Greatest Common Factor

We found the factors 96,5102 . The biggest common factor number is the GCF number.
So the greatest common factor 96,5102 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 691/96, 390/5102

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 691/96, 390/5102?

Answer: LCM of Numerators as per given numbers 691/96, 390/5102 is

LCM of Numerators i.e. for 691,390 is 269490

GCF of denominators i.e. for 96,5102 is 2.

Thus, LCM of Fractions is 134745.Finally, LCM of Fractions for 691/96, 390/5102 is 134745.