Least Common Multiple of 569/978, 9472/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 569/978, 9472/398 quickly i.e. 2694784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/978, 9472/398 is 2694784.

LCM(569/978, 9472/398) = 2694784

LCM of 569/978, 9472/398

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 569/978,9472/398

Given numbers are 569/978,9472/398

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 569,9472

Least Common Multiple of Numerators i.e. LCM of 569,9472 is 5389568.

GCF of Denominators means GCF of 978,398 as per the given fractions.

GCF of 978,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,9472

LCM of Fractions 569/978,9472/398 is 2694784

Given numbers has no common factors except 1. So, there LCM is their product i.e 5389568

Least Common Multiple of 569,9472 with GCF Formula

Least Common Multiple of 569,9472 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 569,9472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,9472) = 1

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

GCF(569,9472) x common factors =1 x 1 = 1

LCM(569,9472) = ( 569 × 9472 ) / 1

LCM(569,9472) = 5389568 / 1

LCM(569,9472) = 5389568


Lets's calculate GCF of 978,398

2 978, 398
489, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5389568/2

Therefore the LCM of Fractions 569/978,9472/398 is 2694784

Greatest Common Factor of 978,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,398 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 978,398 . The biggest common factor number is the GCF number.
So the greatest common factor 978,398 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 569/978, 9472/398

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 569/978, 9472/398?

Answer: LCM of Numerators as per given numbers 569/978, 9472/398 is

LCM of Numerators i.e. for 569,9472 is 5389568

GCF of denominators i.e. for 978,398 is 2.

Thus, LCM of Fractions is 2694784.Finally, LCM of Fractions for 569/978, 9472/398 is 2694784.