Least Common Multiple of 162/513, 308/886, 199/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 162/513, 308/886, 199/164 quickly i.e. 4964652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/513, 308/886, 199/164 is 4964652.

LCM(162/513, 308/886, 199/164) = 4964652

LCM of 162/513, 308/886, 199/164

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 162/513,308/886,199/164

Given numbers are 162/513,308/886,199/164

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 162,308,199

Least Common Multiple of Numerators i.e. LCM of 162,308,199 is 4964652.

GCF of Denominators means GCF of 513,886,164 as per the given fractions.

GCF of 513,886,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,308,199

LCM of Fractions 162/513,308/886,199/164 is 4964652

2 162, 308, 199
81, 154, 199

∴ So the LCM of the given numbers is 2 x 81 x 154 x 199 = 4964652

Least Common Multiple of 162,308,199 with GCF Formula

Least Common Multiple of 162,308,199 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 162,308,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,308,199) = 1

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

GCF(162,308,199) x common factors =1 x 2 = 2

LCM(162,308,199) = ( 162 × 308 × 199 ) / 2

LCM(162,308,199) = 9929304 / 2

LCM(162,308,199) = 4964652


Lets's calculate GCF of 513,886,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4964652/1

Therefore the LCM of Fractions 162/513,308/886,199/164 is 4964652

Greatest Common Factor of 513,886,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,886,164 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 513,886,164 . The biggest common factor number is the GCF number.
So the greatest common factor 513,886,164 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 162/513, 308/886, 199/164

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 162/513, 308/886, 199/164?

Answer: LCM of Numerators as per given numbers 162/513, 308/886, 199/164 is

LCM of Numerators i.e. for 162,308,199 is 4964652

GCF of denominators i.e. for 513,886,164 is 1.

Thus, LCM of Fractions is 4964652.Finally, LCM of Fractions for 162/513, 308/886, 199/164 is 4964652.