Least Common Multiple of 282/85, 787/75, 989/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/85, 787/75, 989/19 quickly i.e. 219492726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/85, 787/75, 989/19 is 219492726.

LCM(282/85, 787/75, 989/19) = 219492726

LCM of 282/85, 787/75, 989/19

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 282/85,787/75,989/19

Given numbers are 282/85,787/75,989/19

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 282,787,989

Least Common Multiple of Numerators i.e. LCM of 282,787,989 is 219492726.

GCF of Denominators means GCF of 85,75,19 as per the given fractions.

GCF of 85,75,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,787,989

LCM of Fractions 282/85,787/75,989/19 is 219492726

Given numbers has no common factors except 1. So, there LCM is their product i.e 219492726

Least Common Multiple of 282,787,989 with GCF Formula

Least Common Multiple of 282,787,989 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 282,787,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,787,989) = 1

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

GCF(282,787,989) x common factors =1 x 1 = 1

LCM(282,787,989) = ( 282 × 787 × 989 ) / 1

LCM(282,787,989) = 219492726 / 1

LCM(282,787,989) = 219492726


Lets's calculate GCF of 85,75,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219492726/1

Therefore the LCM of Fractions 282/85,787/75,989/19 is 219492726

Greatest Common Factor of 85,75,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,75,19 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 85,75,19 . The biggest common factor number is the GCF number.
So the greatest common factor 85,75,19 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 282/85, 787/75, 989/19

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 282/85, 787/75, 989/19?

Answer: LCM of Numerators as per given numbers 282/85, 787/75, 989/19 is

LCM of Numerators i.e. for 282,787,989 is 219492726

GCF of denominators i.e. for 85,75,19 is 1.

Thus, LCM of Fractions is 219492726.Finally, LCM of Fractions for 282/85, 787/75, 989/19 is 219492726.