Least Common Multiple of 39/166, 68/356, 369/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/166, 68/356, 369/862 quickly i.e. 163098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/166, 68/356, 369/862 is 163098.

LCM(39/166, 68/356, 369/862) = 163098

LCM of 39/166, 68/356, 369/862

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 39/166,68/356,369/862

Given numbers are 39/166,68/356,369/862

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 39,68,369

Least Common Multiple of Numerators i.e. LCM of 39,68,369 is 326196.

GCF of Denominators means GCF of 166,356,862 as per the given fractions.

GCF of 166,356,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,68,369

LCM of Fractions 39/166,68/356,369/862 is 163098

3 39, 68, 369
13, 68, 123

∴ So the LCM of the given numbers is 3 x 13 x 68 x 123 = 326196

Least Common Multiple of 39,68,369 with GCF Formula

Least Common Multiple of 39,68,369 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 39,68,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,68,369) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,68,369) x common factors =1 x 3 = 3

LCM(39,68,369) = ( 39 × 68 × 369 ) / 3

LCM(39,68,369) = 978588 / 3

LCM(39,68,369) = 326196


Lets's calculate GCF of 166,356,862

2 166, 356, 862
83, 178, 431

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326196/2

Therefore the LCM of Fractions 39/166,68/356,369/862 is 163098

Greatest Common Factor of 166,356,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,356,862 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 166,356,862 . The biggest common factor number is the GCF number.
So the greatest common factor 166,356,862 is 2.


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 39/166, 68/356, 369/862

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 39/166, 68/356, 369/862?

Answer: LCM of Numerators as per given numbers 39/166, 68/356, 369/862 is

LCM of Numerators i.e. for 39,68,369 is 326196

GCF of denominators i.e. for 166,356,862 is 2.

Thus, LCM of Fractions is 163098.Finally, LCM of Fractions for 39/166, 68/356, 369/862 is 163098.