Least Common Multiple of 17/82, 75/67, 570/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/82, 75/67, 570/989 quickly i.e. 48450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/82, 75/67, 570/989 is 48450.

LCM(17/82, 75/67, 570/989) = 48450

LCM of 17/82, 75/67, 570/989

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 17/82,75/67,570/989

Given numbers are 17/82,75/67,570/989

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 17,75,570

Least Common Multiple of Numerators i.e. LCM of 17,75,570 is 48450.

GCF of Denominators means GCF of 82,67,989 as per the given fractions.

GCF of 82,67,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,75,570

LCM of Fractions 17/82,75/67,570/989 is 48450

3 17, 75, 570
5 17, 25, 190
17, 5, 38

∴ So the LCM of the given numbers is 3 x 5 x 17 x 5 x 38 = 48450

Least Common Multiple of 17,75,570 with GCF Formula

Least Common Multiple of 17,75,570 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 17,75,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,75,570) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(17,75,570) x common factors =1 x 15 = 15

LCM(17,75,570) = ( 17 × 75 × 570 ) / 15

LCM(17,75,570) = 726750 / 15

LCM(17,75,570) = 48450


Lets's calculate GCF of 82,67,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48450/1

Therefore the LCM of Fractions 17/82,75/67,570/989 is 48450

Greatest Common Factor of 82,67,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,67,989 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 82,67,989 . The biggest common factor number is the GCF number.
So the greatest common factor 82,67,989 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 17/82, 75/67, 570/989

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 17/82, 75/67, 570/989?

Answer: LCM of Numerators as per given numbers 17/82, 75/67, 570/989 is

LCM of Numerators i.e. for 17,75,570 is 48450

GCF of denominators i.e. for 82,67,989 is 1.

Thus, LCM of Fractions is 48450.Finally, LCM of Fractions for 17/82, 75/67, 570/989 is 48450.