Least Common Multiple of 13/960, 34/101, 623/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/960, 34/101, 623/865 quickly i.e. 275366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/960, 34/101, 623/865 is 275366.

LCM(13/960, 34/101, 623/865) = 275366

LCM of 13/960, 34/101, 623/865

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 13/960,34/101,623/865

Given numbers are 13/960,34/101,623/865

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 13,34,623

Least Common Multiple of Numerators i.e. LCM of 13,34,623 is 275366.

GCF of Denominators means GCF of 960,101,865 as per the given fractions.

GCF of 960,101,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,34,623

LCM of Fractions 13/960,34/101,623/865 is 275366

Given numbers has no common factors except 1. So, there LCM is their product i.e 275366

Least Common Multiple of 13,34,623 with GCF Formula

Least Common Multiple of 13,34,623 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 13,34,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,34,623) = 1

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

GCF(13,34,623) x common factors =1 x 1 = 1

LCM(13,34,623) = ( 13 × 34 × 623 ) / 1

LCM(13,34,623) = 275366 / 1

LCM(13,34,623) = 275366


Lets's calculate GCF of 960,101,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275366/1

Therefore the LCM of Fractions 13/960,34/101,623/865 is 275366

Greatest Common Factor of 960,101,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,101,865 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 960,101,865 . The biggest common factor number is the GCF number.
So the greatest common factor 960,101,865 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 13/960, 34/101, 623/865

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 13/960, 34/101, 623/865?

Answer: LCM of Numerators as per given numbers 13/960, 34/101, 623/865 is

LCM of Numerators i.e. for 13,34,623 is 275366

GCF of denominators i.e. for 960,101,865 is 1.

Thus, LCM of Fractions is 275366.Finally, LCM of Fractions for 13/960, 34/101, 623/865 is 275366.