Least Common Multiple of 123/88, 205/6802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/88, 205/6802 quickly i.e. 615/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/88, 205/6802 is 615/2.

LCM(123/88, 205/6802) = 615/2

LCM of 123/88, 205/6802

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 123/88,205/6802

Given numbers are 123/88,205/6802

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 123,205

Least Common Multiple of Numerators i.e. LCM of 123,205 is 615.

GCF of Denominators means GCF of 88,6802 as per the given fractions.

GCF of 88,6802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,205

LCM of Fractions 123/88,205/6802 is 615/2

41 123, 205
3, 5

∴ So the LCM of the given numbers is 41 x 3 x 5 = 615

Least Common Multiple of 123,205 with GCF Formula

Least Common Multiple of 123,205 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 123,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,205) = 41

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

GCF(123,205) x common factors =41 x 1 = 41

LCM(123,205) = ( 123 × 205 ) / 41

LCM(123,205) = 25215 / 41

LCM(123,205) = 615


Lets's calculate GCF of 88,6802

2 88, 6802
44, 3401

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615/2

Therefore the LCM of Fractions 123/88,205/6802 is 615/2

Greatest Common Factor of 88,6802 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,6802 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 6802

List of positive integer factors of 6802 that divides 6802 without a remainder.

1,2,19,38,179,358,3401,6802

Greatest Common Factor

We found the factors 88,6802 . The biggest common factor number is the GCF number.
So the greatest common factor 88,6802 is 2.


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 123/88, 205/6802

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 123/88, 205/6802?

Answer: LCM of Numerators as per given numbers 123/88, 205/6802 is

LCM of Numerators i.e. for 123,205 is 615

GCF of denominators i.e. for 88,6802 is 2.

Thus, LCM of Fractions is 615/2.Finally, LCM of Fractions for 123/88, 205/6802 is 615/2.