Least Common Multiple of 287/68, 465/73, 145/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/68, 465/73, 145/385 quickly i.e. 3870195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/68, 465/73, 145/385 is 3870195.

LCM(287/68, 465/73, 145/385) = 3870195

LCM of 287/68, 465/73, 145/385

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 287/68,465/73,145/385

Given numbers are 287/68,465/73,145/385

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 287,465,145

Least Common Multiple of Numerators i.e. LCM of 287,465,145 is 3870195.

GCF of Denominators means GCF of 68,73,385 as per the given fractions.

GCF of 68,73,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,465,145

LCM of Fractions 287/68,465/73,145/385 is 3870195

5 287, 465, 145
287, 93, 29

∴ So the LCM of the given numbers is 5 x 287 x 93 x 29 = 3870195

Least Common Multiple of 287,465,145 with GCF Formula

Least Common Multiple of 287,465,145 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 287,465,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,465,145) = 1

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

GCF(287,465,145) x common factors =1 x 5 = 5

LCM(287,465,145) = ( 287 × 465 × 145 ) / 5

LCM(287,465,145) = 19350975 / 5

LCM(287,465,145) = 3870195


Lets's calculate GCF of 68,73,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3870195/1

Therefore the LCM of Fractions 287/68,465/73,145/385 is 3870195

Greatest Common Factor of 68,73,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,73,385 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 68,73,385 . The biggest common factor number is the GCF number.
So the greatest common factor 68,73,385 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 287/68, 465/73, 145/385

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 287/68, 465/73, 145/385?

Answer: LCM of Numerators as per given numbers 287/68, 465/73, 145/385 is

LCM of Numerators i.e. for 287,465,145 is 3870195

GCF of denominators i.e. for 68,73,385 is 1.

Thus, LCM of Fractions is 3870195.Finally, LCM of Fractions for 287/68, 465/73, 145/385 is 3870195.