Least Common Multiple of 46/22, 41/85, 13/40, 998/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/22, 41/85, 13/40, 998/37 quickly i.e. 12234482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/22, 41/85, 13/40, 998/37 is 12234482.

LCM(46/22, 41/85, 13/40, 998/37) = 12234482

LCM of 46/22, 41/85, 13/40, 998/37

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 46/22,41/85,13/40,998/37

Given numbers are 46/22,41/85,13/40,998/37

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 46,41,13,998

Least Common Multiple of Numerators i.e. LCM of 46,41,13,998 is 12234482.

GCF of Denominators means GCF of 22,85,40,37 as per the given fractions.

GCF of 22,85,40,37 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,41,13,998

LCM of Fractions 46/22,41/85,13/40,998/37 is 12234482

2 46, 41, 13, 998
23, 41, 13, 499

∴ So the LCM of the given numbers is 2 x 23 x 41 x 13 x 499 = 12234482

Least Common Multiple of 46,41,13,998 with GCF Formula

Least Common Multiple of 46,41,13,998 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 46,41,13,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,41,13,998) = 1

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

GCF(46,41,13,998) x common factors =1 x 2 = 2

LCM(46,41,13,998) = ( 46 × 41 × 13 × 998 ) / 2

LCM(46,41,13,998) = 24468964 / 2

LCM(46,41,13,998) = 12234482


Lets's calculate GCF of 22,85,40,37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12234482/1

Therefore the LCM of Fractions 46/22,41/85,13/40,998/37 is 12234482

Greatest Common Factor of 22,85,40,37 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,85,40,37 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors 22,85,40,37 . The biggest common factor number is the GCF number.
So the greatest common factor 22,85,40,37 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 46/22, 41/85, 13/40, 998/37

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 46/22, 41/85, 13/40, 998/37?

Answer: LCM of Numerators as per given numbers 46/22, 41/85, 13/40, 998/37 is

LCM of Numerators i.e. for 46,41,13,998 is 12234482

GCF of denominators i.e. for 22,85,40,37 is 1.

Thus, LCM of Fractions is 12234482.Finally, LCM of Fractions for 46/22, 41/85, 13/40, 998/37 is 12234482.