Least Common Multiple of 431/92, 518/42, 164/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 431/92, 518/42, 164/101 quickly i.e. 18307156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 431/92, 518/42, 164/101 is 18307156.

LCM(431/92, 518/42, 164/101) = 18307156

LCM of 431/92, 518/42, 164/101

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 431/92,518/42,164/101

Given numbers are 431/92,518/42,164/101

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 431,518,164

Least Common Multiple of Numerators i.e. LCM of 431,518,164 is 18307156.

GCF of Denominators means GCF of 92,42,101 as per the given fractions.

GCF of 92,42,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 431,518,164

LCM of Fractions 431/92,518/42,164/101 is 18307156

2 431, 518, 164
431, 259, 82

∴ So the LCM of the given numbers is 2 x 431 x 259 x 82 = 18307156

Least Common Multiple of 431,518,164 with GCF Formula

Least Common Multiple of 431,518,164 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 431,518,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,518,164) = 1

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

GCF(431,518,164) x common factors =1 x 2 = 2

LCM(431,518,164) = ( 431 × 518 × 164 ) / 2

LCM(431,518,164) = 36614312 / 2

LCM(431,518,164) = 18307156


Lets's calculate GCF of 92,42,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18307156/1

Therefore the LCM of Fractions 431/92,518/42,164/101 is 18307156

Greatest Common Factor of 92,42,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,42,101 By Matching Biggest Common Factor Method

Factors of 92

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

1,2,4,23,46,92

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 92,42,101 . The biggest common factor number is the GCF number.
So the greatest common factor 92,42,101 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 431/92, 518/42, 164/101

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 431/92, 518/42, 164/101?

Answer: LCM of Numerators as per given numbers 431/92, 518/42, 164/101 is

LCM of Numerators i.e. for 431,518,164 is 18307156

GCF of denominators i.e. for 92,42,101 is 1.

Thus, LCM of Fractions is 18307156.Finally, LCM of Fractions for 431/92, 518/42, 164/101 is 18307156.