Least Common Multiple of 978/578, 703/694, 198/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/578, 703/694, 198/382 quickly i.e. 11344311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/578, 703/694, 198/382 is 11344311.

LCM(978/578, 703/694, 198/382) = 11344311

LCM of 978/578, 703/694, 198/382

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 978/578,703/694,198/382

Given numbers are 978/578,703/694,198/382

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 978,703,198

Least Common Multiple of Numerators i.e. LCM of 978,703,198 is 22688622.

GCF of Denominators means GCF of 578,694,382 as per the given fractions.

GCF of 578,694,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,703,198

LCM of Fractions 978/578,703/694,198/382 is 11344311

2 978, 703, 198
3 489, 703, 99
163, 703, 33

∴ So the LCM of the given numbers is 2 x 3 x 163 x 703 x 33 = 22688622

Least Common Multiple of 978,703,198 with GCF Formula

Least Common Multiple of 978,703,198 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 978,703,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,703,198) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(978,703,198) x common factors =1 x 6 = 6

LCM(978,703,198) = ( 978 × 703 × 198 ) / 6

LCM(978,703,198) = 136131732 / 6

LCM(978,703,198) = 22688622


Lets's calculate GCF of 578,694,382

2 578, 694, 382
289, 347, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22688622/2

Therefore the LCM of Fractions 978/578,703/694,198/382 is 11344311

Greatest Common Factor of 578,694,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,694,382 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 578,694,382 . The biggest common factor number is the GCF number.
So the greatest common factor 578,694,382 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 978/578, 703/694, 198/382

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 978/578, 703/694, 198/382?

Answer: LCM of Numerators as per given numbers 978/578, 703/694, 198/382 is

LCM of Numerators i.e. for 978,703,198 is 22688622

GCF of denominators i.e. for 578,694,382 is 2.

Thus, LCM of Fractions is 11344311.Finally, LCM of Fractions for 978/578, 703/694, 198/382 is 11344311.