Least Common Multiple of 172/807, 396/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 172/807, 396/143 quickly i.e. 17028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 172/807, 396/143 is 17028.

LCM(172/807, 396/143) = 17028

LCM of 172/807, 396/143

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 172/807,396/143

Given numbers are 172/807,396/143

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 172,396

Least Common Multiple of Numerators i.e. LCM of 172,396 is 17028.

GCF of Denominators means GCF of 807,143 as per the given fractions.

GCF of 807,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 172,396

LCM of Fractions 172/807,396/143 is 17028

2 172, 396
2 86, 198
43, 99

∴ So the LCM of the given numbers is 2 x 2 x 43 x 99 = 17028

Least Common Multiple of 172,396 with GCF Formula

Least Common Multiple of 172,396 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 172,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,396) = 4

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

GCF(172,396) x common factors =4 x 1 = 4

LCM(172,396) = ( 172 × 396 ) / 4

LCM(172,396) = 68112 / 4

LCM(172,396) = 17028


Lets's calculate GCF of 807,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17028/1

Therefore the LCM of Fractions 172/807,396/143 is 17028

Greatest Common Factor of 807,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,143 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 807,143 . The biggest common factor number is the GCF number.
So the greatest common factor 807,143 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 172/807, 396/143

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 172/807, 396/143?

Answer: LCM of Numerators as per given numbers 172/807, 396/143 is

LCM of Numerators i.e. for 172,396 is 17028

GCF of denominators i.e. for 807,143 is 1.

Thus, LCM of Fractions is 17028.Finally, LCM of Fractions for 172/807, 396/143 is 17028.