Least Common Multiple of 801/530, 425/735, 321/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 801/530, 425/735, 321/275 quickly i.e. 7285095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 801/530, 425/735, 321/275 is 7285095.

LCM(801/530, 425/735, 321/275) = 7285095

LCM of 801/530, 425/735, 321/275

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 801/530,425/735,321/275

Given numbers are 801/530,425/735,321/275

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 801,425,321

Least Common Multiple of Numerators i.e. LCM of 801,425,321 is 36425475.

GCF of Denominators means GCF of 530,735,275 as per the given fractions.

GCF of 530,735,275 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 801,425,321

LCM of Fractions 801/530,425/735,321/275 is 7285095

3 801, 425, 321
267, 425, 107

∴ So the LCM of the given numbers is 3 x 267 x 425 x 107 = 36425475

Least Common Multiple of 801,425,321 with GCF Formula

Least Common Multiple of 801,425,321 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 801,425,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(801,425,321) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(801,425,321) x common factors =1 x 3 = 3

LCM(801,425,321) = ( 801 × 425 × 321 ) / 3

LCM(801,425,321) = 109276425 / 3

LCM(801,425,321) = 36425475


Lets's calculate GCF of 530,735,275

5 530, 735, 275
106, 147, 55

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36425475/5

Therefore the LCM of Fractions 801/530,425/735,321/275 is 7285095

Greatest Common Factor of 530,735,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,735,275 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 530,735,275 . The biggest common factor number is the GCF number.
So the greatest common factor 530,735,275 is 5.


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 801/530, 425/735, 321/275

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 801/530, 425/735, 321/275?

Answer: LCM of Numerators as per given numbers 801/530, 425/735, 321/275 is

LCM of Numerators i.e. for 801,425,321 is 36425475

GCF of denominators i.e. for 530,735,275 is 5.

Thus, LCM of Fractions is 7285095.Finally, LCM of Fractions for 801/530, 425/735, 321/275 is 7285095.