Least Common Multiple of 588/73, 298/88, 975/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 588/73, 298/88, 975/978 quickly i.e. 28473900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 588/73, 298/88, 975/978 is 28473900.

LCM(588/73, 298/88, 975/978) = 28473900

LCM of 588/73, 298/88, 975/978

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 588/73,298/88,975/978

Given numbers are 588/73,298/88,975/978

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 588,298,975

Least Common Multiple of Numerators i.e. LCM of 588,298,975 is 28473900.

GCF of Denominators means GCF of 73,88,978 as per the given fractions.

GCF of 73,88,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 588,298,975

LCM of Fractions 588/73,298/88,975/978 is 28473900

2 588, 298, 975
3 294, 149, 975
98, 149, 325

∴ So the LCM of the given numbers is 2 x 3 x 98 x 149 x 325 = 28473900

Least Common Multiple of 588,298,975 with GCF Formula

Least Common Multiple of 588,298,975 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 588,298,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,298,975) = 1

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

GCF(588,298,975) x common factors =1 x 6 = 6

LCM(588,298,975) = ( 588 × 298 × 975 ) / 6

LCM(588,298,975) = 170843400 / 6

LCM(588,298,975) = 28473900


Lets's calculate GCF of 73,88,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28473900/1

Therefore the LCM of Fractions 588/73,298/88,975/978 is 28473900

Greatest Common Factor of 73,88,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,88,978 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 978

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

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

Greatest Common Factor

We found the factors 73,88,978 . The biggest common factor number is the GCF number.
So the greatest common factor 73,88,978 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 588/73, 298/88, 975/978

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 588/73, 298/88, 975/978?

Answer: LCM of Numerators as per given numbers 588/73, 298/88, 975/978 is

LCM of Numerators i.e. for 588,298,975 is 28473900

GCF of denominators i.e. for 73,88,978 is 1.

Thus, LCM of Fractions is 28473900.Finally, LCM of Fractions for 588/73, 298/88, 975/978 is 28473900.