Least Common Multiple of 83/15, 87/385, 575/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/15, 87/385, 575/448 quickly i.e. 4152075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/15, 87/385, 575/448 is 4152075.

LCM(83/15, 87/385, 575/448) = 4152075

LCM of 83/15, 87/385, 575/448

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 83/15,87/385,575/448

Given numbers are 83/15,87/385,575/448

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 83,87,575

Least Common Multiple of Numerators i.e. LCM of 83,87,575 is 4152075.

GCF of Denominators means GCF of 15,385,448 as per the given fractions.

GCF of 15,385,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,87,575

LCM of Fractions 83/15,87/385,575/448 is 4152075

Given numbers has no common factors except 1. So, there LCM is their product i.e 4152075

Least Common Multiple of 83,87,575 with GCF Formula

Least Common Multiple of 83,87,575 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 83,87,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,87,575) = 1

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

GCF(83,87,575) x common factors =1 x 1 = 1

LCM(83,87,575) = ( 83 × 87 × 575 ) / 1

LCM(83,87,575) = 4152075 / 1

LCM(83,87,575) = 4152075


Lets's calculate GCF of 15,385,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4152075/1

Therefore the LCM of Fractions 83/15,87/385,575/448 is 4152075

Greatest Common Factor of 15,385,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,385,448 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 385

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

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

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 15,385,448 . The biggest common factor number is the GCF number.
So the greatest common factor 15,385,448 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 83/15, 87/385, 575/448

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 83/15, 87/385, 575/448?

Answer: LCM of Numerators as per given numbers 83/15, 87/385, 575/448 is

LCM of Numerators i.e. for 83,87,575 is 4152075

GCF of denominators i.e. for 15,385,448 is 1.

Thus, LCM of Fractions is 4152075.Finally, LCM of Fractions for 83/15, 87/385, 575/448 is 4152075.