Least Common Multiple of 170/81, 371/61, 785/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/81, 371/61, 785/216 quickly i.e. 9901990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/81, 371/61, 785/216 is 9901990.

LCM(170/81, 371/61, 785/216) = 9901990

LCM of 170/81, 371/61, 785/216

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 170/81,371/61,785/216

Given numbers are 170/81,371/61,785/216

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 170,371,785

Least Common Multiple of Numerators i.e. LCM of 170,371,785 is 9901990.

GCF of Denominators means GCF of 81,61,216 as per the given fractions.

GCF of 81,61,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,371,785

LCM of Fractions 170/81,371/61,785/216 is 9901990

5 170, 371, 785
34, 371, 157

∴ So the LCM of the given numbers is 5 x 34 x 371 x 157 = 9901990

Least Common Multiple of 170,371,785 with GCF Formula

Least Common Multiple of 170,371,785 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 170,371,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,371,785) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(170,371,785) x common factors =1 x 5 = 5

LCM(170,371,785) = ( 170 × 371 × 785 ) / 5

LCM(170,371,785) = 49509950 / 5

LCM(170,371,785) = 9901990


Lets's calculate GCF of 81,61,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9901990/1

Therefore the LCM of Fractions 170/81,371/61,785/216 is 9901990

Greatest Common Factor of 81,61,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,61,216 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 81,61,216 . The biggest common factor number is the GCF number.
So the greatest common factor 81,61,216 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 170/81, 371/61, 785/216

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 170/81, 371/61, 785/216?

Answer: LCM of Numerators as per given numbers 170/81, 371/61, 785/216 is

LCM of Numerators i.e. for 170,371,785 is 9901990

GCF of denominators i.e. for 81,61,216 is 1.

Thus, LCM of Fractions is 9901990.Finally, LCM of Fractions for 170/81, 371/61, 785/216 is 9901990.