Least Common Multiple of 88/123, 86/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/123, 86/618 quickly i.e. 3784/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/123, 86/618 is 3784/3.

LCM(88/123, 86/618) = 3784/3

LCM of 88/123, 86/618

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 88/123,86/618

Given numbers are 88/123,86/618

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 88,86

Least Common Multiple of Numerators i.e. LCM of 88,86 is 3784.

GCF of Denominators means GCF of 123,618 as per the given fractions.

GCF of 123,618 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,86

LCM of Fractions 88/123,86/618 is 3784/3

2 88, 86
44, 43

∴ So the LCM of the given numbers is 2 x 44 x 43 = 3784

Least Common Multiple of 88,86 with GCF Formula

Least Common Multiple of 88,86 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 88,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,86) = 2

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

GCF(88,86) x common factors =2 x 1 = 2

LCM(88,86) = ( 88 × 86 ) / 2

LCM(88,86) = 7568 / 2

LCM(88,86) = 3784


Lets's calculate GCF of 123,618

3 123, 618
41, 206

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3784/3

Therefore the LCM of Fractions 88/123,86/618 is 3784/3

Greatest Common Factor of 123,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,618 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 123,618 . The biggest common factor number is the GCF number.
So the greatest common factor 123,618 is 3.


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 88/123, 86/618

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 88/123, 86/618?

Answer: LCM of Numerators as per given numbers 88/123, 86/618 is

LCM of Numerators i.e. for 88,86 is 3784

GCF of denominators i.e. for 123,618 is 3.

Thus, LCM of Fractions is 3784/3.Finally, LCM of Fractions for 88/123, 86/618 is 3784/3.