Least Common Multiple of 88/135, 642/827, 865/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/135, 642/827, 865/234 quickly i.e. 24434520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/135, 642/827, 865/234 is 24434520.

LCM(88/135, 642/827, 865/234) = 24434520

LCM of 88/135, 642/827, 865/234

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 88/135,642/827,865/234

Given numbers are 88/135,642/827,865/234

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 88,642,865

Least Common Multiple of Numerators i.e. LCM of 88,642,865 is 24434520.

GCF of Denominators means GCF of 135,827,234 as per the given fractions.

GCF of 135,827,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,642,865

LCM of Fractions 88/135,642/827,865/234 is 24434520

2 88, 642, 865
44, 321, 865

∴ So the LCM of the given numbers is 2 x 44 x 321 x 865 = 24434520

Least Common Multiple of 88,642,865 with GCF Formula

Least Common Multiple of 88,642,865 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 88,642,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,642,865) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(88,642,865) x common factors =1 x 2 = 2

LCM(88,642,865) = ( 88 × 642 × 865 ) / 2

LCM(88,642,865) = 48869040 / 2

LCM(88,642,865) = 24434520


Lets's calculate GCF of 135,827,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24434520/1

Therefore the LCM of Fractions 88/135,642/827,865/234 is 24434520

Greatest Common Factor of 135,827,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,827,234 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 135,827,234 . The biggest common factor number is the GCF number.
So the greatest common factor 135,827,234 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 88/135, 642/827, 865/234

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 88/135, 642/827, 865/234?

Answer: LCM of Numerators as per given numbers 88/135, 642/827, 865/234 is

LCM of Numerators i.e. for 88,642,865 is 24434520

GCF of denominators i.e. for 135,827,234 is 1.

Thus, LCM of Fractions is 24434520.Finally, LCM of Fractions for 88/135, 642/827, 865/234 is 24434520.