Least Common Multiple of 1285/415, 8961/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1285/415, 8961/664 quickly i.e. 11514885/83 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1285/415, 8961/664 is 11514885/83.

LCM(1285/415, 8961/664) = 11514885/83

LCM of 1285/415, 8961/664

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 1285/415,8961/664

Given numbers are 1285/415,8961/664

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 1285,8961

Least Common Multiple of Numerators i.e. LCM of 1285,8961 is 11514885.

GCF of Denominators means GCF of 415,664 as per the given fractions.

GCF of 415,664 is 83 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1285,8961

LCM of Fractions 1285/415,8961/664 is 11514885/83

Given numbers has no common factors except 1. So, there LCM is their product i.e 11514885

Least Common Multiple of 1285,8961 with GCF Formula

Least Common Multiple of 1285,8961 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 1285,8961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1285,8961) = 1

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

GCF(1285,8961) x common factors =1 x 1 = 1

LCM(1285,8961) = ( 1285 × 8961 ) / 1

LCM(1285,8961) = 11514885 / 1

LCM(1285,8961) = 11514885


Lets's calculate GCF of 415,664

83 415, 664
5, 8

∴ So the GCF of the given numbers is 83 = 83

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11514885/83

Therefore the LCM of Fractions 1285/415,8961/664 is 11514885/83

Greatest Common Factor of 415,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,664 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 415,664 . The biggest common factor number is the GCF number.
So the greatest common factor 415,664 is 83.


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 1285/415, 8961/664

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 1285/415, 8961/664?

Answer: LCM of Numerators as per given numbers 1285/415, 8961/664 is

LCM of Numerators i.e. for 1285,8961 is 11514885

GCF of denominators i.e. for 415,664 is 83.

Thus, LCM of Fractions is 11514885/83.Finally, LCM of Fractions for 1285/415, 8961/664 is 11514885/83.