Least Common Multiple of 97/587, 272/901, 652/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/587, 272/901, 652/821 quickly i.e. 4300592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/587, 272/901, 652/821 is 4300592.

LCM(97/587, 272/901, 652/821) = 4300592

LCM of 97/587, 272/901, 652/821

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 97/587,272/901,652/821

Given numbers are 97/587,272/901,652/821

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 97,272,652

Least Common Multiple of Numerators i.e. LCM of 97,272,652 is 4300592.

GCF of Denominators means GCF of 587,901,821 as per the given fractions.

GCF of 587,901,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,272,652

LCM of Fractions 97/587,272/901,652/821 is 4300592

2 97, 272, 652
2 97, 136, 326
97, 68, 163

∴ So the LCM of the given numbers is 2 x 2 x 97 x 68 x 163 = 4300592

Least Common Multiple of 97,272,652 with GCF Formula

Least Common Multiple of 97,272,652 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 97,272,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,272,652) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(97,272,652) x common factors =1 x 4 = 4

LCM(97,272,652) = ( 97 × 272 × 652 ) / 4

LCM(97,272,652) = 17202368 / 4

LCM(97,272,652) = 4300592


Lets's calculate GCF of 587,901,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4300592/1

Therefore the LCM of Fractions 97/587,272/901,652/821 is 4300592

Greatest Common Factor of 587,901,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 587,901,821 By Matching Biggest Common Factor Method

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 587,901,821 . The biggest common factor number is the GCF number.
So the greatest common factor 587,901,821 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 97/587, 272/901, 652/821

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 97/587, 272/901, 652/821?

Answer: LCM of Numerators as per given numbers 97/587, 272/901, 652/821 is

LCM of Numerators i.e. for 97,272,652 is 4300592

GCF of denominators i.e. for 587,901,821 is 1.

Thus, LCM of Fractions is 4300592.Finally, LCM of Fractions for 97/587, 272/901, 652/821 is 4300592.