Least Common Multiple of 978/31, 729/29, 169/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/31, 729/29, 169/669 quickly i.e. 40163526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/31, 729/29, 169/669 is 40163526.

LCM(978/31, 729/29, 169/669) = 40163526

LCM of 978/31, 729/29, 169/669

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 978/31,729/29,169/669

Given numbers are 978/31,729/29,169/669

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 978,729,169

Least Common Multiple of Numerators i.e. LCM of 978,729,169 is 40163526.

GCF of Denominators means GCF of 31,29,669 as per the given fractions.

GCF of 31,29,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,729,169

LCM of Fractions 978/31,729/29,169/669 is 40163526

3 978, 729, 169
326, 243, 169

∴ So the LCM of the given numbers is 3 x 326 x 243 x 169 = 40163526

Least Common Multiple of 978,729,169 with GCF Formula

Least Common Multiple of 978,729,169 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 978,729,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,729,169) = 1

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

GCF(978,729,169) x common factors =1 x 3 = 3

LCM(978,729,169) = ( 978 × 729 × 169 ) / 3

LCM(978,729,169) = 120490578 / 3

LCM(978,729,169) = 40163526


Lets's calculate GCF of 31,29,669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40163526/1

Therefore the LCM of Fractions 978/31,729/29,169/669 is 40163526

Greatest Common Factor of 31,29,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,29,669 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 31,29,669 . The biggest common factor number is the GCF number.
So the greatest common factor 31,29,669 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 978/31, 729/29, 169/669

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 978/31, 729/29, 169/669?

Answer: LCM of Numerators as per given numbers 978/31, 729/29, 169/669 is

LCM of Numerators i.e. for 978,729,169 is 40163526

GCF of denominators i.e. for 31,29,669 is 1.

Thus, LCM of Fractions is 40163526.Finally, LCM of Fractions for 978/31, 729/29, 169/669 is 40163526.