Least Common Multiple of 246/34, 366/5384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 246/34, 366/5384 quickly i.e. 7503 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 246/34, 366/5384 is 7503.

LCM(246/34, 366/5384) = 7503

LCM of 246/34, 366/5384

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 246/34,366/5384

Given numbers are 246/34,366/5384

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 246,366

Least Common Multiple of Numerators i.e. LCM of 246,366 is 15006.

GCF of Denominators means GCF of 34,5384 as per the given fractions.

GCF of 34,5384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 246,366

LCM of Fractions 246/34,366/5384 is 7503

2 246, 366
3 123, 183
41, 61

∴ So the LCM of the given numbers is 2 x 3 x 41 x 61 = 15006

Least Common Multiple of 246,366 with GCF Formula

Least Common Multiple of 246,366 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 246,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,366) = 6

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

GCF(246,366) x common factors =6 x 1 = 6

LCM(246,366) = ( 246 × 366 ) / 6

LCM(246,366) = 90036 / 6

LCM(246,366) = 15006


Lets's calculate GCF of 34,5384

2 34, 5384
17, 2692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15006/2

Therefore the LCM of Fractions 246/34,366/5384 is 7503

Greatest Common Factor of 34,5384 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,5384 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 5384

List of positive integer factors of 5384 that divides 5384 without a remainder.

1,2,4,8,673,1346,2692,5384

Greatest Common Factor

We found the factors 34,5384 . The biggest common factor number is the GCF number.
So the greatest common factor 34,5384 is 2.


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 246/34, 366/5384

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 246/34, 366/5384?

Answer: LCM of Numerators as per given numbers 246/34, 366/5384 is

LCM of Numerators i.e. for 246,366 is 15006

GCF of denominators i.e. for 34,5384 is 2.

Thus, LCM of Fractions is 7503.Finally, LCM of Fractions for 246/34, 366/5384 is 7503.