Least Common Multiple of 17/477, 71/381, 649/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/477, 71/381, 649/152 quickly i.e. 783343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/477, 71/381, 649/152 is 783343.

LCM(17/477, 71/381, 649/152) = 783343

LCM of 17/477, 71/381, 649/152

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 17/477,71/381,649/152

Given numbers are 17/477,71/381,649/152

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 17,71,649

Least Common Multiple of Numerators i.e. LCM of 17,71,649 is 783343.

GCF of Denominators means GCF of 477,381,152 as per the given fractions.

GCF of 477,381,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,71,649

LCM of Fractions 17/477,71/381,649/152 is 783343

Given numbers has no common factors except 1. So, there LCM is their product i.e 783343

Least Common Multiple of 17,71,649 with GCF Formula

Least Common Multiple of 17,71,649 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 17,71,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,71,649) = 1

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

GCF(17,71,649) x common factors =1 x 1 = 1

LCM(17,71,649) = ( 17 × 71 × 649 ) / 1

LCM(17,71,649) = 783343 / 1

LCM(17,71,649) = 783343


Lets's calculate GCF of 477,381,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 783343/1

Therefore the LCM of Fractions 17/477,71/381,649/152 is 783343

Greatest Common Factor of 477,381,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,381,152 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 477,381,152 . The biggest common factor number is the GCF number.
So the greatest common factor 477,381,152 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 17/477, 71/381, 649/152

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 17/477, 71/381, 649/152?

Answer: LCM of Numerators as per given numbers 17/477, 71/381, 649/152 is

LCM of Numerators i.e. for 17,71,649 is 783343

GCF of denominators i.e. for 477,381,152 is 1.

Thus, LCM of Fractions is 783343.Finally, LCM of Fractions for 17/477, 71/381, 649/152 is 783343.