Least Common Multiple of 69/728, 58/821, 334/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/728, 58/821, 334/901 quickly i.e. 668334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/728, 58/821, 334/901 is 668334.

LCM(69/728, 58/821, 334/901) = 668334

LCM of 69/728, 58/821, 334/901

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 69/728,58/821,334/901

Given numbers are 69/728,58/821,334/901

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 69,58,334

Least Common Multiple of Numerators i.e. LCM of 69,58,334 is 668334.

GCF of Denominators means GCF of 728,821,901 as per the given fractions.

GCF of 728,821,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,58,334

LCM of Fractions 69/728,58/821,334/901 is 668334

2 69, 58, 334
69, 29, 167

∴ So the LCM of the given numbers is 2 x 69 x 29 x 167 = 668334

Least Common Multiple of 69,58,334 with GCF Formula

Least Common Multiple of 69,58,334 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 69,58,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,58,334) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(69,58,334) x common factors =1 x 2 = 2

LCM(69,58,334) = ( 69 × 58 × 334 ) / 2

LCM(69,58,334) = 1336668 / 2

LCM(69,58,334) = 668334


Lets's calculate GCF of 728,821,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 668334/1

Therefore the LCM of Fractions 69/728,58/821,334/901 is 668334

Greatest Common Factor of 728,821,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,821,901 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 821

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

1,821

Factors of 901

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

1,17,53,901

Greatest Common Factor

We found the factors 728,821,901 . The biggest common factor number is the GCF number.
So the greatest common factor 728,821,901 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 69/728, 58/821, 334/901

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 69/728, 58/821, 334/901?

Answer: LCM of Numerators as per given numbers 69/728, 58/821, 334/901 is

LCM of Numerators i.e. for 69,58,334 is 668334

GCF of denominators i.e. for 728,821,901 is 1.

Thus, LCM of Fractions is 668334.Finally, LCM of Fractions for 69/728, 58/821, 334/901 is 668334.