Least Common Multiple of 360/865, 118/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/865, 118/110 quickly i.e. 4248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/865, 118/110 is 4248.

LCM(360/865, 118/110) = 4248

LCM of 360/865, 118/110

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 360/865,118/110

Given numbers are 360/865,118/110

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 360,118

Least Common Multiple of Numerators i.e. LCM of 360,118 is 21240.

GCF of Denominators means GCF of 865,110 as per the given fractions.

GCF of 865,110 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,118

LCM of Fractions 360/865,118/110 is 4248

2 360, 118
180, 59

∴ So the LCM of the given numbers is 2 x 180 x 59 = 21240

Least Common Multiple of 360,118 with GCF Formula

Least Common Multiple of 360,118 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 360,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,118) = 2

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

GCF(360,118) x common factors =2 x 1 = 2

LCM(360,118) = ( 360 × 118 ) / 2

LCM(360,118) = 42480 / 2

LCM(360,118) = 21240


Lets's calculate GCF of 865,110

5 865, 110
173, 22

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21240/5

Therefore the LCM of Fractions 360/865,118/110 is 4248

Greatest Common Factor of 865,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,110 By Matching Biggest Common Factor Method

Factors of 865

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

1,5,173,865

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 865,110 . The biggest common factor number is the GCF number.
So the greatest common factor 865,110 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 360/865, 118/110

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 360/865, 118/110?

Answer: LCM of Numerators as per given numbers 360/865, 118/110 is

LCM of Numerators i.e. for 360,118 is 21240

GCF of denominators i.e. for 865,110 is 5.

Thus, LCM of Fractions is 4248.Finally, LCM of Fractions for 360/865, 118/110 is 4248.