Least Common Multiple of 174/213, 5082/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/213, 5082/267 quickly i.e. 49126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/213, 5082/267 is 49126.

LCM(174/213, 5082/267) = 49126

LCM of 174/213, 5082/267

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 174/213,5082/267

Given numbers are 174/213,5082/267

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 174,5082

Least Common Multiple of Numerators i.e. LCM of 174,5082 is 147378.

GCF of Denominators means GCF of 213,267 as per the given fractions.

GCF of 213,267 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,5082

LCM of Fractions 174/213,5082/267 is 49126

2 174, 5082
3 87, 2541
29, 847

∴ So the LCM of the given numbers is 2 x 3 x 29 x 847 = 147378

Least Common Multiple of 174,5082 with GCF Formula

Least Common Multiple of 174,5082 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 174,5082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,5082) = 6

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

GCF(174,5082) x common factors =6 x 1 = 6

LCM(174,5082) = ( 174 × 5082 ) / 6

LCM(174,5082) = 884268 / 6

LCM(174,5082) = 147378


Lets's calculate GCF of 213,267

3 213, 267
71, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147378/3

Therefore the LCM of Fractions 174/213,5082/267 is 49126

Greatest Common Factor of 213,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,267 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 213,267 . The biggest common factor number is the GCF number.
So the greatest common factor 213,267 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 174/213, 5082/267

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 174/213, 5082/267?

Answer: LCM of Numerators as per given numbers 174/213, 5082/267 is

LCM of Numerators i.e. for 174,5082 is 147378

GCF of denominators i.e. for 213,267 is 3.

Thus, LCM of Fractions is 49126.Finally, LCM of Fractions for 174/213, 5082/267 is 49126.