Least Common Multiple of 8961/675, 1383/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8961/675, 1383/890 quickly i.e. 4131021/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8961/675, 1383/890 is 4131021/5.

LCM(8961/675, 1383/890) = 4131021/5

LCM of 8961/675, 1383/890

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 8961/675,1383/890

Given numbers are 8961/675,1383/890

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 8961,1383

Least Common Multiple of Numerators i.e. LCM of 8961,1383 is 4131021.

GCF of Denominators means GCF of 675,890 as per the given fractions.

GCF of 675,890 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8961,1383

LCM of Fractions 8961/675,1383/890 is 4131021/5

3 8961, 1383
2987, 461

∴ So the LCM of the given numbers is 3 x 2987 x 461 = 4131021

Least Common Multiple of 8961,1383 with GCF Formula

Least Common Multiple of 8961,1383 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 8961,1383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8961,1383) = 3

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

GCF(8961,1383) x common factors =3 x 1 = 3

LCM(8961,1383) = ( 8961 × 1383 ) / 3

LCM(8961,1383) = 12393063 / 3

LCM(8961,1383) = 4131021


Lets's calculate GCF of 675,890

5 675, 890
135, 178

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4131021/5

Therefore the LCM of Fractions 8961/675,1383/890 is 4131021/5

Greatest Common Factor of 675,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,890 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 675,890 . The biggest common factor number is the GCF number.
So the greatest common factor 675,890 is 5.


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 8961/675, 1383/890

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 8961/675, 1383/890?

Answer: LCM of Numerators as per given numbers 8961/675, 1383/890 is

LCM of Numerators i.e. for 8961,1383 is 4131021

GCF of denominators i.e. for 675,890 is 5.

Thus, LCM of Fractions is 4131021/5.Finally, LCM of Fractions for 8961/675, 1383/890 is 4131021/5.