Least Common Multiple of 164/126, 273/291, 206/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/126, 273/291, 206/102 quickly i.e. 1537172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/126, 273/291, 206/102 is 1537172.

LCM(164/126, 273/291, 206/102) = 1537172

LCM of 164/126, 273/291, 206/102

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 164/126,273/291,206/102

Given numbers are 164/126,273/291,206/102

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 164,273,206

Least Common Multiple of Numerators i.e. LCM of 164,273,206 is 4611516.

GCF of Denominators means GCF of 126,291,102 as per the given fractions.

GCF of 126,291,102 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,273,206

LCM of Fractions 164/126,273/291,206/102 is 1537172

2 164, 273, 206
82, 273, 103

∴ So the LCM of the given numbers is 2 x 82 x 273 x 103 = 4611516

Least Common Multiple of 164,273,206 with GCF Formula

Least Common Multiple of 164,273,206 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 164,273,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,273,206) = 1

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

GCF(164,273,206) x common factors =1 x 2 = 2

LCM(164,273,206) = ( 164 × 273 × 206 ) / 2

LCM(164,273,206) = 9223032 / 2

LCM(164,273,206) = 4611516


Lets's calculate GCF of 126,291,102

3 126, 291, 102
42, 97, 34

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4611516/3

Therefore the LCM of Fractions 164/126,273/291,206/102 is 1537172

Greatest Common Factor of 126,291,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,291,102 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 126,291,102 . The biggest common factor number is the GCF number.
So the greatest common factor 126,291,102 is 3.


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 164/126, 273/291, 206/102

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 164/126, 273/291, 206/102?

Answer: LCM of Numerators as per given numbers 164/126, 273/291, 206/102 is

LCM of Numerators i.e. for 164,273,206 is 4611516

GCF of denominators i.e. for 126,291,102 is 3.

Thus, LCM of Fractions is 1537172.Finally, LCM of Fractions for 164/126, 273/291, 206/102 is 1537172.