Least Common Multiple of 8312/387, 3524/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8312/387, 3524/625 quickly i.e. 7322872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8312/387, 3524/625 is 7322872.

LCM(8312/387, 3524/625) = 7322872

LCM of 8312/387, 3524/625

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 8312/387,3524/625

Given numbers are 8312/387,3524/625

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 8312,3524

Least Common Multiple of Numerators i.e. LCM of 8312,3524 is 7322872.

GCF of Denominators means GCF of 387,625 as per the given fractions.

GCF of 387,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8312,3524

LCM of Fractions 8312/387,3524/625 is 7322872

2 8312, 3524
2 4156, 1762
2078, 881

∴ So the LCM of the given numbers is 2 x 2 x 2078 x 881 = 7322872

Least Common Multiple of 8312,3524 with GCF Formula

Least Common Multiple of 8312,3524 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 8312,3524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8312,3524) = 4

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

GCF(8312,3524) x common factors =4 x 1 = 4

LCM(8312,3524) = ( 8312 × 3524 ) / 4

LCM(8312,3524) = 29291488 / 4

LCM(8312,3524) = 7322872


Lets's calculate GCF of 387,625

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7322872/1

Therefore the LCM of Fractions 8312/387,3524/625 is 7322872

Greatest Common Factor of 387,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,625 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 387,625 . The biggest common factor number is the GCF number.
So the greatest common factor 387,625 is 1.


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 8312/387, 3524/625

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 8312/387, 3524/625?

Answer: LCM of Numerators as per given numbers 8312/387, 3524/625 is

LCM of Numerators i.e. for 8312,3524 is 7322872

GCF of denominators i.e. for 387,625 is 1.

Thus, LCM of Fractions is 7322872.Finally, LCM of Fractions for 8312/387, 3524/625 is 7322872.