Least Common Multiple of 978/45, 163/29, 482/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/45, 163/29, 482/351 quickly i.e. 235698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/45, 163/29, 482/351 is 235698.

LCM(978/45, 163/29, 482/351) = 235698

LCM of 978/45, 163/29, 482/351

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 978/45,163/29,482/351

Given numbers are 978/45,163/29,482/351

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 978,163,482

Least Common Multiple of Numerators i.e. LCM of 978,163,482 is 235698.

GCF of Denominators means GCF of 45,29,351 as per the given fractions.

GCF of 45,29,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,163,482

LCM of Fractions 978/45,163/29,482/351 is 235698

2 978, 163, 482
163 489, 163, 241
3, 1, 241

∴ So the LCM of the given numbers is 2 x 163 x 3 x 1 x 241 = 235698

Least Common Multiple of 978,163,482 with GCF Formula

Least Common Multiple of 978,163,482 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 978,163,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,163,482) = 1

common factors(in case of two or more numbers have common factors) = 326

GCF(978,163,482) x common factors =1 x 326 = 326

LCM(978,163,482) = ( 978 × 163 × 482 ) / 326

LCM(978,163,482) = 76837548 / 326

LCM(978,163,482) = 235698


Lets's calculate GCF of 45,29,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235698/1

Therefore the LCM of Fractions 978/45,163/29,482/351 is 235698

Greatest Common Factor of 45,29,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,29,351 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 29

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

1,29

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 45,29,351 . The biggest common factor number is the GCF number.
So the greatest common factor 45,29,351 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 978/45, 163/29, 482/351

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 978/45, 163/29, 482/351?

Answer: LCM of Numerators as per given numbers 978/45, 163/29, 482/351 is

LCM of Numerators i.e. for 978,163,482 is 235698

GCF of denominators i.e. for 45,29,351 is 1.

Thus, LCM of Fractions is 235698.Finally, LCM of Fractions for 978/45, 163/29, 482/351 is 235698.