Least Common Multiple of 395/17, 723/92, 224/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/17, 723/92, 224/383 quickly i.e. 63971040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/17, 723/92, 224/383 is 63971040.

LCM(395/17, 723/92, 224/383) = 63971040

LCM of 395/17, 723/92, 224/383

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 395/17,723/92,224/383

Given numbers are 395/17,723/92,224/383

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 395,723,224

Least Common Multiple of Numerators i.e. LCM of 395,723,224 is 63971040.

GCF of Denominators means GCF of 17,92,383 as per the given fractions.

GCF of 17,92,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,723,224

LCM of Fractions 395/17,723/92,224/383 is 63971040

Given numbers has no common factors except 1. So, there LCM is their product i.e 63971040

Least Common Multiple of 395,723,224 with GCF Formula

Least Common Multiple of 395,723,224 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 395,723,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,723,224) = 1

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

GCF(395,723,224) x common factors =1 x 1 = 1

LCM(395,723,224) = ( 395 × 723 × 224 ) / 1

LCM(395,723,224) = 63971040 / 1

LCM(395,723,224) = 63971040


Lets's calculate GCF of 17,92,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63971040/1

Therefore the LCM of Fractions 395/17,723/92,224/383 is 63971040

Greatest Common Factor of 17,92,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,92,383 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 17,92,383 . The biggest common factor number is the GCF number.
So the greatest common factor 17,92,383 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 395/17, 723/92, 224/383

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 395/17, 723/92, 224/383?

Answer: LCM of Numerators as per given numbers 395/17, 723/92, 224/383 is

LCM of Numerators i.e. for 395,723,224 is 63971040

GCF of denominators i.e. for 17,92,383 is 1.

Thus, LCM of Fractions is 63971040.Finally, LCM of Fractions for 395/17, 723/92, 224/383 is 63971040.