Least Common Multiple of 35/83, 75/260, 435/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/83, 75/260, 435/213 quickly i.e. 15225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/83, 75/260, 435/213 is 15225.

LCM(35/83, 75/260, 435/213) = 15225

LCM of 35/83, 75/260, 435/213

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 35/83,75/260,435/213

Given numbers are 35/83,75/260,435/213

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 35,75,435

Least Common Multiple of Numerators i.e. LCM of 35,75,435 is 15225.

GCF of Denominators means GCF of 83,260,213 as per the given fractions.

GCF of 83,260,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,75,435

LCM of Fractions 35/83,75/260,435/213 is 15225

3 35, 75, 435
5 35, 25, 145
7, 5, 29

∴ So the LCM of the given numbers is 3 x 5 x 7 x 5 x 29 = 15225

Least Common Multiple of 35,75,435 with GCF Formula

Least Common Multiple of 35,75,435 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 35,75,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,75,435) = 5

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

GCF(35,75,435) x common factors =5 x 15 = 75

LCM(35,75,435) = ( 35 × 75 × 435 ) / 75

LCM(35,75,435) = 1141875 / 75

LCM(35,75,435) = 15225


Lets's calculate GCF of 83,260,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15225/1

Therefore the LCM of Fractions 35/83,75/260,435/213 is 15225

Greatest Common Factor of 83,260,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,260,213 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 83,260,213 . The biggest common factor number is the GCF number.
So the greatest common factor 83,260,213 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 35/83, 75/260, 435/213

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 35/83, 75/260, 435/213?

Answer: LCM of Numerators as per given numbers 35/83, 75/260, 435/213 is

LCM of Numerators i.e. for 35,75,435 is 15225

GCF of denominators i.e. for 83,260,213 is 1.

Thus, LCM of Fractions is 15225.Finally, LCM of Fractions for 35/83, 75/260, 435/213 is 15225.