Least Common Multiple of 170/17, 813/13, 381/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/17, 813/13, 381/803 quickly i.e. 17552670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/17, 813/13, 381/803 is 17552670.

LCM(170/17, 813/13, 381/803) = 17552670

LCM of 170/17, 813/13, 381/803

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 170/17,813/13,381/803

Given numbers are 170/17,813/13,381/803

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 170,813,381

Least Common Multiple of Numerators i.e. LCM of 170,813,381 is 17552670.

GCF of Denominators means GCF of 17,13,803 as per the given fractions.

GCF of 17,13,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,813,381

LCM of Fractions 170/17,813/13,381/803 is 17552670

3 170, 813, 381
170, 271, 127

∴ So the LCM of the given numbers is 3 x 170 x 271 x 127 = 17552670

Least Common Multiple of 170,813,381 with GCF Formula

Least Common Multiple of 170,813,381 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 170,813,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,813,381) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(170,813,381) x common factors =1 x 3 = 3

LCM(170,813,381) = ( 170 × 813 × 381 ) / 3

LCM(170,813,381) = 52658010 / 3

LCM(170,813,381) = 17552670


Lets's calculate GCF of 17,13,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17552670/1

Therefore the LCM of Fractions 170/17,813/13,381/803 is 17552670

Greatest Common Factor of 17,13,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,13,803 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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 17,13,803 . The biggest common factor number is the GCF number.
So the greatest common factor 17,13,803 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 170/17, 813/13, 381/803

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 170/17, 813/13, 381/803?

Answer: LCM of Numerators as per given numbers 170/17, 813/13, 381/803 is

LCM of Numerators i.e. for 170,813,381 is 17552670

GCF of denominators i.e. for 17,13,803 is 1.

Thus, LCM of Fractions is 17552670.Finally, LCM of Fractions for 170/17, 813/13, 381/803 is 17552670.