Least Common Multiple of 69/181, 369/397, 139/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/181, 369/397, 139/718 quickly i.e. 1179693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/181, 369/397, 139/718 is 1179693.

LCM(69/181, 369/397, 139/718) = 1179693

LCM of 69/181, 369/397, 139/718

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 69/181,369/397,139/718

Given numbers are 69/181,369/397,139/718

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 69,369,139

Least Common Multiple of Numerators i.e. LCM of 69,369,139 is 1179693.

GCF of Denominators means GCF of 181,397,718 as per the given fractions.

GCF of 181,397,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,369,139

LCM of Fractions 69/181,369/397,139/718 is 1179693

3 69, 369, 139
23, 123, 139

∴ So the LCM of the given numbers is 3 x 23 x 123 x 139 = 1179693

Least Common Multiple of 69,369,139 with GCF Formula

Least Common Multiple of 69,369,139 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 69,369,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,369,139) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,369,139) x common factors =1 x 3 = 3

LCM(69,369,139) = ( 69 × 369 × 139 ) / 3

LCM(69,369,139) = 3539079 / 3

LCM(69,369,139) = 1179693


Lets's calculate GCF of 181,397,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1179693/1

Therefore the LCM of Fractions 69/181,369/397,139/718 is 1179693

Greatest Common Factor of 181,397,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 181,397,718 By Matching Biggest Common Factor Method

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 181,397,718 . The biggest common factor number is the GCF number.
So the greatest common factor 181,397,718 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 69/181, 369/397, 139/718

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 69/181, 369/397, 139/718?

Answer: LCM of Numerators as per given numbers 69/181, 369/397, 139/718 is

LCM of Numerators i.e. for 69,369,139 is 1179693

GCF of denominators i.e. for 181,397,718 is 1.

Thus, LCM of Fractions is 1179693.Finally, LCM of Fractions for 69/181, 369/397, 139/718 is 1179693.