Least Common Multiple of 37/50, 81/98, 31/12, 31/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/50, 81/98, 31/12, 31/498 quickly i.e. 92907/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/50, 81/98, 31/12, 31/498 is 92907/2.

LCM(37/50, 81/98, 31/12, 31/498) = 92907/2

LCM of 37/50, 81/98, 31/12, 31/498

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 37/50,81/98,31/12,31/498

Given numbers are 37/50,81/98,31/12,31/498

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 37,81,31,31

Least Common Multiple of Numerators i.e. LCM of 37,81,31,31 is 92907.

GCF of Denominators means GCF of 50,98,12,498 as per the given fractions.

GCF of 50,98,12,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,81,31,31

LCM of Fractions 37/50,81/98,31/12,31/498 is 92907/2

31 37, 81, 31, 31
37, 81, 1, 1

∴ So the LCM of the given numbers is 31 x 37 x 81 x 1 x 1 = 92907

Least Common Multiple of 37,81,31,31 with GCF Formula

Least Common Multiple of 37,81,31,31 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 37,81,31,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,81,31,31) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(37,81,31,31) x common factors =1 x 31 = 31

LCM(37,81,31,31) = ( 37 × 81 × 31 × 31 ) / 31

LCM(37,81,31,31) = 2880117 / 31

LCM(37,81,31,31) = 92907


Lets's calculate GCF of 50,98,12,498

2 50, 98, 12, 498
25, 49, 6, 249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92907/2

Therefore the LCM of Fractions 37/50,81/98,31/12,31/498 is 92907/2

Greatest Common Factor of 50,98,12,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,98,12,498 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 50,98,12,498 . The biggest common factor number is the GCF number.
So the greatest common factor 50,98,12,498 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 37/50, 81/98, 31/12, 31/498

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 37/50, 81/98, 31/12, 31/498?

Answer: LCM of Numerators as per given numbers 37/50, 81/98, 31/12, 31/498 is

LCM of Numerators i.e. for 37,81,31,31 is 92907

GCF of denominators i.e. for 50,98,12,498 is 2.

Thus, LCM of Fractions is 92907/2.Finally, LCM of Fractions for 37/50, 81/98, 31/12, 31/498 is 92907/2.