Least Common Multiple of 46/45, 89/20, 61/92, 37/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/45, 89/20, 61/92, 37/159 quickly i.e. 9240158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/45, 89/20, 61/92, 37/159 is 9240158.

LCM(46/45, 89/20, 61/92, 37/159) = 9240158

LCM of 46/45, 89/20, 61/92, 37/159

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 46/45,89/20,61/92,37/159

Given numbers are 46/45,89/20,61/92,37/159

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 46,89,61,37

Least Common Multiple of Numerators i.e. LCM of 46,89,61,37 is 9240158.

GCF of Denominators means GCF of 45,20,92,159 as per the given fractions.

GCF of 45,20,92,159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,89,61,37

LCM of Fractions 46/45,89/20,61/92,37/159 is 9240158

Given numbers has no common factors except 1. So, there LCM is their product i.e 9240158

Least Common Multiple of 46,89,61,37 with GCF Formula

Least Common Multiple of 46,89,61,37 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 46,89,61,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,89,61,37) = 1

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

GCF(46,89,61,37) x common factors =1 x 1 = 1

LCM(46,89,61,37) = ( 46 × 89 × 61 × 37 ) / 1

LCM(46,89,61,37) = 9240158 / 1

LCM(46,89,61,37) = 9240158


Lets's calculate GCF of 45,20,92,159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9240158/1

Therefore the LCM of Fractions 46/45,89/20,61/92,37/159 is 9240158

Greatest Common Factor of 45,20,92,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,20,92,159 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 45,20,92,159 . The biggest common factor number is the GCF number.
So the greatest common factor 45,20,92,159 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 46/45, 89/20, 61/92, 37/159

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 46/45, 89/20, 61/92, 37/159?

Answer: LCM of Numerators as per given numbers 46/45, 89/20, 61/92, 37/159 is

LCM of Numerators i.e. for 46,89,61,37 is 9240158

GCF of denominators i.e. for 45,20,92,159 is 1.

Thus, LCM of Fractions is 9240158.Finally, LCM of Fractions for 46/45, 89/20, 61/92, 37/159 is 9240158.