Least Common Multiple of 7198/748, 5074/8084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7198/748, 5074/8084 quickly i.e. 309514/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7198/748, 5074/8084 is 309514/4.

LCM(7198/748, 5074/8084) = 309514/4

LCM of 7198/748, 5074/8084

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 7198/748,5074/8084

Given numbers are 7198/748,5074/8084

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 7198,5074

Least Common Multiple of Numerators i.e. LCM of 7198,5074 is 309514.

GCF of Denominators means GCF of 748,8084 as per the given fractions.

GCF of 748,8084 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7198,5074

LCM of Fractions 7198/748,5074/8084 is 309514/4

2 7198, 5074
59 3599, 2537
61, 43

∴ So the LCM of the given numbers is 2 x 59 x 61 x 43 = 309514

Least Common Multiple of 7198,5074 with GCF Formula

Least Common Multiple of 7198,5074 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 7198,5074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7198,5074) = 118

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

GCF(7198,5074) x common factors =118 x 1 = 118

LCM(7198,5074) = ( 7198 × 5074 ) / 118

LCM(7198,5074) = 36522652 / 118

LCM(7198,5074) = 309514


Lets's calculate GCF of 748,8084

2 748, 8084
2 374, 4042
187, 2021

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309514/4

Therefore the LCM of Fractions 7198/748,5074/8084 is 309514/4

Greatest Common Factor of 748,8084 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,8084 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1,2,4,43,47,86,94,172,188,2021,4042,8084

Greatest Common Factor

We found the factors 748,8084 . The biggest common factor number is the GCF number.
So the greatest common factor 748,8084 is 4.


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 7198/748, 5074/8084

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 7198/748, 5074/8084?

Answer: LCM of Numerators as per given numbers 7198/748, 5074/8084 is

LCM of Numerators i.e. for 7198,5074 is 309514

GCF of denominators i.e. for 748,8084 is 4.

Thus, LCM of Fractions is 309514/4.Finally, LCM of Fractions for 7198/748, 5074/8084 is 309514/4.