Least Common Multiple of 46/485, 598/284, 159/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/485, 598/284, 159/936 quickly i.e. 95082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/485, 598/284, 159/936 is 95082.

LCM(46/485, 598/284, 159/936) = 95082

LCM of 46/485, 598/284, 159/936

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 46/485,598/284,159/936

Given numbers are 46/485,598/284,159/936

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 46,598,159

Least Common Multiple of Numerators i.e. LCM of 46,598,159 is 95082.

GCF of Denominators means GCF of 485,284,936 as per the given fractions.

GCF of 485,284,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,598,159

LCM of Fractions 46/485,598/284,159/936 is 95082

2 46, 598, 159
23 23, 299, 159
1, 13, 159

∴ So the LCM of the given numbers is 2 x 23 x 1 x 13 x 159 = 95082

Least Common Multiple of 46,598,159 with GCF Formula

Least Common Multiple of 46,598,159 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 46,598,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,598,159) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(46,598,159) x common factors =1 x 46 = 46

LCM(46,598,159) = ( 46 × 598 × 159 ) / 46

LCM(46,598,159) = 4373772 / 46

LCM(46,598,159) = 95082


Lets's calculate GCF of 485,284,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95082/1

Therefore the LCM of Fractions 46/485,598/284,159/936 is 95082

Greatest Common Factor of 485,284,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,284,936 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 485,284,936 . The biggest common factor number is the GCF number.
So the greatest common factor 485,284,936 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/485, 598/284, 159/936

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 46/485, 598/284, 159/936?

Answer: LCM of Numerators as per given numbers 46/485, 598/284, 159/936 is

LCM of Numerators i.e. for 46,598,159 is 95082

GCF of denominators i.e. for 485,284,936 is 1.

Thus, LCM of Fractions is 95082.Finally, LCM of Fractions for 46/485, 598/284, 159/936 is 95082.