Least Common Multiple of 425/864, 9669/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 425/864, 9669/375 quickly i.e. 1369775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 425/864, 9669/375 is 1369775.

LCM(425/864, 9669/375) = 1369775

LCM of 425/864, 9669/375

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 425/864,9669/375

Given numbers are 425/864,9669/375

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 425,9669

Least Common Multiple of Numerators i.e. LCM of 425,9669 is 4109325.

GCF of Denominators means GCF of 864,375 as per the given fractions.

GCF of 864,375 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 425,9669

LCM of Fractions 425/864,9669/375 is 1369775

Given numbers has no common factors except 1. So, there LCM is their product i.e 4109325

Least Common Multiple of 425,9669 with GCF Formula

Least Common Multiple of 425,9669 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 425,9669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,9669) = 1

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

GCF(425,9669) x common factors =1 x 1 = 1

LCM(425,9669) = ( 425 × 9669 ) / 1

LCM(425,9669) = 4109325 / 1

LCM(425,9669) = 4109325


Lets's calculate GCF of 864,375

3 864, 375
288, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4109325/3

Therefore the LCM of Fractions 425/864,9669/375 is 1369775

Greatest Common Factor of 864,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,375 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 864,375 . The biggest common factor number is the GCF number.
So the greatest common factor 864,375 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 425/864, 9669/375

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 425/864, 9669/375?

Answer: LCM of Numerators as per given numbers 425/864, 9669/375 is

LCM of Numerators i.e. for 425,9669 is 4109325

GCF of denominators i.e. for 864,375 is 3.

Thus, LCM of Fractions is 1369775.Finally, LCM of Fractions for 425/864, 9669/375 is 1369775.