Least Common Multiple of 362/18, 550/39, 994/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/18, 550/39, 994/116 quickly i.e. 49476350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/18, 550/39, 994/116 is 49476350.

LCM(362/18, 550/39, 994/116) = 49476350

LCM of 362/18, 550/39, 994/116

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 362/18,550/39,994/116

Given numbers are 362/18,550/39,994/116

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 362,550,994

Least Common Multiple of Numerators i.e. LCM of 362,550,994 is 49476350.

GCF of Denominators means GCF of 18,39,116 as per the given fractions.

GCF of 18,39,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,550,994

LCM of Fractions 362/18,550/39,994/116 is 49476350

2 362, 550, 994
181, 275, 497

∴ So the LCM of the given numbers is 2 x 181 x 275 x 497 = 49476350

Least Common Multiple of 362,550,994 with GCF Formula

Least Common Multiple of 362,550,994 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 362,550,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,550,994) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(362,550,994) x common factors =2 x 2 = 4

LCM(362,550,994) = ( 362 × 550 × 994 ) / 4

LCM(362,550,994) = 197905400 / 4

LCM(362,550,994) = 49476350


Lets's calculate GCF of 18,39,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49476350/1

Therefore the LCM of Fractions 362/18,550/39,994/116 is 49476350

Greatest Common Factor of 18,39,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,39,116 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 18,39,116 . The biggest common factor number is the GCF number.
So the greatest common factor 18,39,116 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 362/18, 550/39, 994/116

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 362/18, 550/39, 994/116?

Answer: LCM of Numerators as per given numbers 362/18, 550/39, 994/116 is

LCM of Numerators i.e. for 362,550,994 is 49476350

GCF of denominators i.e. for 18,39,116 is 1.

Thus, LCM of Fractions is 49476350.Finally, LCM of Fractions for 362/18, 550/39, 994/116 is 49476350.