Least Common Multiple of 8431/325, 1398/3510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8431/325, 1398/3510 quickly i.e. 11786538/65 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8431/325, 1398/3510 is 11786538/65.

LCM(8431/325, 1398/3510) = 11786538/65

LCM of 8431/325, 1398/3510

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 8431/325,1398/3510

Given numbers are 8431/325,1398/3510

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 8431,1398

Least Common Multiple of Numerators i.e. LCM of 8431,1398 is 11786538.

GCF of Denominators means GCF of 325,3510 as per the given fractions.

GCF of 325,3510 is 65 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8431,1398

LCM of Fractions 8431/325,1398/3510 is 11786538/65

Given numbers has no common factors except 1. So, there LCM is their product i.e 11786538

Least Common Multiple of 8431,1398 with GCF Formula

Least Common Multiple of 8431,1398 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 8431,1398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8431,1398) = 1

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

GCF(8431,1398) x common factors =1 x 1 = 1

LCM(8431,1398) = ( 8431 × 1398 ) / 1

LCM(8431,1398) = 11786538 / 1

LCM(8431,1398) = 11786538


Lets's calculate GCF of 325,3510

5 325, 3510
13 65, 702
5, 54

∴ So the GCF of the given numbers is 5 x 13 = 65

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11786538/65

Therefore the LCM of Fractions 8431/325,1398/3510 is 11786538/65

Greatest Common Factor of 325,3510 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,3510 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 3510

List of positive integer factors of 3510 that divides 3510 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,27,30,39,45,54,65,78,90,117,130,135,195,234,270,351,390,585,702,1170,1755,3510

Greatest Common Factor

We found the factors 325,3510 . The biggest common factor number is the GCF number.
So the greatest common factor 325,3510 is 65.


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 8431/325, 1398/3510

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 8431/325, 1398/3510?

Answer: LCM of Numerators as per given numbers 8431/325, 1398/3510 is

LCM of Numerators i.e. for 8431,1398 is 11786538

GCF of denominators i.e. for 325,3510 is 65.

Thus, LCM of Fractions is 11786538/65.Finally, LCM of Fractions for 8431/325, 1398/3510 is 11786538/65.