Least Common Multiple of 172/23, 742/6102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 172/23, 742/6102 quickly i.e. 63812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 172/23, 742/6102 is 63812.

LCM(172/23, 742/6102) = 63812

LCM of 172/23, 742/6102

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 172/23,742/6102

Given numbers are 172/23,742/6102

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 172,742

Least Common Multiple of Numerators i.e. LCM of 172,742 is 63812.

GCF of Denominators means GCF of 23,6102 as per the given fractions.

GCF of 23,6102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 172,742

LCM of Fractions 172/23,742/6102 is 63812

2 172, 742
86, 371

∴ So the LCM of the given numbers is 2 x 86 x 371 = 63812

Least Common Multiple of 172,742 with GCF Formula

Least Common Multiple of 172,742 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 172,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,742) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(172,742) x common factors =2 x 1 = 2

LCM(172,742) = ( 172 × 742 ) / 2

LCM(172,742) = 127624 / 2

LCM(172,742) = 63812


Lets's calculate GCF of 23,6102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63812/1

Therefore the LCM of Fractions 172/23,742/6102 is 63812

Greatest Common Factor of 23,6102 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,6102 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 6102

List of positive integer factors of 6102 that divides 6102 without a remainder.

1,2,3,6,9,18,27,54,113,226,339,678,1017,2034,3051,6102

Greatest Common Factor

We found the factors 23,6102 . The biggest common factor number is the GCF number.
So the greatest common factor 23,6102 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 172/23, 742/6102

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 172/23, 742/6102?

Answer: LCM of Numerators as per given numbers 172/23, 742/6102 is

LCM of Numerators i.e. for 172,742 is 63812

GCF of denominators i.e. for 23,6102 is 1.

Thus, LCM of Fractions is 63812.Finally, LCM of Fractions for 172/23, 742/6102 is 63812.