Least Common Multiple of 5094/245, 6084/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5094/245, 6084/174 quickly i.e. 1721772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5094/245, 6084/174 is 1721772.

LCM(5094/245, 6084/174) = 1721772

LCM of 5094/245, 6084/174

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 5094/245,6084/174

Given numbers are 5094/245,6084/174

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 5094,6084

Least Common Multiple of Numerators i.e. LCM of 5094,6084 is 1721772.

GCF of Denominators means GCF of 245,174 as per the given fractions.

GCF of 245,174 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5094,6084

LCM of Fractions 5094/245,6084/174 is 1721772

2 5094, 6084
3 2547, 3042
3 849, 1014
283, 338

∴ So the LCM of the given numbers is 2 x 3 x 3 x 283 x 338 = 1721772

Least Common Multiple of 5094,6084 with GCF Formula

Least Common Multiple of 5094,6084 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 5094,6084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5094,6084) = 18

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

GCF(5094,6084) x common factors =18 x 1 = 18

LCM(5094,6084) = ( 5094 × 6084 ) / 18

LCM(5094,6084) = 30991896 / 18

LCM(5094,6084) = 1721772


Lets's calculate GCF of 245,174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1721772/1

Therefore the LCM of Fractions 5094/245,6084/174 is 1721772

Greatest Common Factor of 245,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,174 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 245,174 . The biggest common factor number is the GCF number.
So the greatest common factor 245,174 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 5094/245, 6084/174

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 5094/245, 6084/174?

Answer: LCM of Numerators as per given numbers 5094/245, 6084/174 is

LCM of Numerators i.e. for 5094,6084 is 1721772

GCF of denominators i.e. for 245,174 is 1.

Thus, LCM of Fractions is 1721772.Finally, LCM of Fractions for 5094/245, 6084/174 is 1721772.