Least Common Multiple of 7574/258, 4021/7989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7574/258, 4021/7989 quickly i.e. 30455054/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7574/258, 4021/7989 is 30455054/3.

LCM(7574/258, 4021/7989) = 30455054/3

LCM of 7574/258, 4021/7989

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 7574/258,4021/7989

Given numbers are 7574/258,4021/7989

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 7574,4021

Least Common Multiple of Numerators i.e. LCM of 7574,4021 is 30455054.

GCF of Denominators means GCF of 258,7989 as per the given fractions.

GCF of 258,7989 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7574,4021

LCM of Fractions 7574/258,4021/7989 is 30455054/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 30455054

Least Common Multiple of 7574,4021 with GCF Formula

Least Common Multiple of 7574,4021 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 7574,4021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7574,4021) = 1

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

GCF(7574,4021) x common factors =1 x 1 = 1

LCM(7574,4021) = ( 7574 × 4021 ) / 1

LCM(7574,4021) = 30455054 / 1

LCM(7574,4021) = 30455054


Lets's calculate GCF of 258,7989

3 258, 7989
86, 2663

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30455054/3

Therefore the LCM of Fractions 7574/258,4021/7989 is 30455054/3

Greatest Common Factor of 258,7989 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,7989 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 7989

List of positive integer factors of 7989 that divides 7989 without a remainder.

1,3,2663,7989

Greatest Common Factor

We found the factors 258,7989 . The biggest common factor number is the GCF number.
So the greatest common factor 258,7989 is 3.


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 7574/258, 4021/7989

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 7574/258, 4021/7989?

Answer: LCM of Numerators as per given numbers 7574/258, 4021/7989 is

LCM of Numerators i.e. for 7574,4021 is 30455054

GCF of denominators i.e. for 258,7989 is 3.

Thus, LCM of Fractions is 30455054/3.Finally, LCM of Fractions for 7574/258, 4021/7989 is 30455054/3.