Least Common Multiple of 8175/109, 3815/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8175/109, 3815/835 quickly i.e. 57225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8175/109, 3815/835 is 57225.

LCM(8175/109, 3815/835) = 57225

LCM of 8175/109, 3815/835

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 8175/109,3815/835

Given numbers are 8175/109,3815/835

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 8175,3815

Least Common Multiple of Numerators i.e. LCM of 8175,3815 is 57225.

GCF of Denominators means GCF of 109,835 as per the given fractions.

GCF of 109,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8175,3815

LCM of Fractions 8175/109,3815/835 is 57225

5 8175, 3815
109 1635, 763
15, 7

∴ So the LCM of the given numbers is 5 x 109 x 15 x 7 = 57225

Least Common Multiple of 8175,3815 with GCF Formula

Least Common Multiple of 8175,3815 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 8175,3815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8175,3815) = 545

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

GCF(8175,3815) x common factors =545 x 1 = 545

LCM(8175,3815) = ( 8175 × 3815 ) / 545

LCM(8175,3815) = 31187625 / 545

LCM(8175,3815) = 57225


Lets's calculate GCF of 109,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57225/1

Therefore the LCM of Fractions 8175/109,3815/835 is 57225

Greatest Common Factor of 109,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,835 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 109,835 . The biggest common factor number is the GCF number.
So the greatest common factor 109,835 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 8175/109, 3815/835

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 8175/109, 3815/835?

Answer: LCM of Numerators as per given numbers 8175/109, 3815/835 is

LCM of Numerators i.e. for 8175,3815 is 57225

GCF of denominators i.e. for 109,835 is 1.

Thus, LCM of Fractions is 57225.Finally, LCM of Fractions for 8175/109, 3815/835 is 57225.