Least Common Multiple of 37/116, 329/286, 286/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/116, 329/286, 286/950 quickly i.e. 1740739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/116, 329/286, 286/950 is 1740739.

LCM(37/116, 329/286, 286/950) = 1740739

LCM of 37/116, 329/286, 286/950

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 37/116,329/286,286/950

Given numbers are 37/116,329/286,286/950

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 37,329,286

Least Common Multiple of Numerators i.e. LCM of 37,329,286 is 3481478.

GCF of Denominators means GCF of 116,286,950 as per the given fractions.

GCF of 116,286,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,329,286

LCM of Fractions 37/116,329/286,286/950 is 1740739

Given numbers has no common factors except 1. So, there LCM is their product i.e 3481478

Least Common Multiple of 37,329,286 with GCF Formula

Least Common Multiple of 37,329,286 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 37,329,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,329,286) = 1

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

GCF(37,329,286) x common factors =1 x 1 = 1

LCM(37,329,286) = ( 37 × 329 × 286 ) / 1

LCM(37,329,286) = 3481478 / 1

LCM(37,329,286) = 3481478


Lets's calculate GCF of 116,286,950

2 116, 286, 950
58, 143, 475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3481478/2

Therefore the LCM of Fractions 37/116,329/286,286/950 is 1740739

Greatest Common Factor of 116,286,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,286,950 By Matching Biggest Common Factor Method

Factors of 116

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

1,2,4,29,58,116

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 116,286,950 . The biggest common factor number is the GCF number.
So the greatest common factor 116,286,950 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/116, 329/286, 286/950

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 37/116, 329/286, 286/950?

Answer: LCM of Numerators as per given numbers 37/116, 329/286, 286/950 is

LCM of Numerators i.e. for 37,329,286 is 3481478

GCF of denominators i.e. for 116,286,950 is 2.

Thus, LCM of Fractions is 1740739.Finally, LCM of Fractions for 37/116, 329/286, 286/950 is 1740739.