Least Common Multiple of 123/88, 292/68, 755/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/88, 292/68, 755/329 quickly i.e. 27116580 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, 292/68, 755/329 is 27116580.

LCM(123/88, 292/68, 755/329) = 27116580

LCM of 123/88, 292/68, 755/329

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 123/88,292/68,755/329

Given numbers are 123/88,292/68,755/329

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 123,292,755

Least Common Multiple of Numerators i.e. LCM of 123,292,755 is 27116580.

GCF of Denominators means GCF of 88,68,329 as per the given fractions.

GCF of 88,68,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,292,755

LCM of Fractions 123/88,292/68,755/329 is 27116580

Given numbers has no common factors except 1. So, there LCM is their product i.e 27116580

Least Common Multiple of 123,292,755 with GCF Formula

Least Common Multiple of 123,292,755 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 123,292,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,292,755) = 1

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

GCF(123,292,755) x common factors =1 x 1 = 1

LCM(123,292,755) = ( 123 × 292 × 755 ) / 1

LCM(123,292,755) = 27116580 / 1

LCM(123,292,755) = 27116580


Lets's calculate GCF of 88,68,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27116580/1

Therefore the LCM of Fractions 123/88,292/68,755/329 is 27116580

Greatest Common Factor of 88,68,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,68,329 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 88,68,329 . The biggest common factor number is the GCF number.
So the greatest common factor 88,68,329 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 123/88, 292/68, 755/329

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, 292/68, 755/329?

Answer: LCM of Numerators as per given numbers 123/88, 292/68, 755/329 is

LCM of Numerators i.e. for 123,292,755 is 27116580

GCF of denominators i.e. for 88,68,329 is 1.

Thus, LCM of Fractions is 27116580.Finally, LCM of Fractions for 123/88, 292/68, 755/329 is 27116580.