Least Common Multiple of 592/67, 726/30, 897/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 592/67, 726/30, 897/544 quickly i.e. 64253904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 592/67, 726/30, 897/544 is 64253904.

LCM(592/67, 726/30, 897/544) = 64253904

LCM of 592/67, 726/30, 897/544

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 592/67,726/30,897/544

Given numbers are 592/67,726/30,897/544

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 592,726,897

Least Common Multiple of Numerators i.e. LCM of 592,726,897 is 64253904.

GCF of Denominators means GCF of 67,30,544 as per the given fractions.

GCF of 67,30,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 592,726,897

LCM of Fractions 592/67,726/30,897/544 is 64253904

2 592, 726, 897
3 296, 363, 897
296, 121, 299

∴ So the LCM of the given numbers is 2 x 3 x 296 x 121 x 299 = 64253904

Least Common Multiple of 592,726,897 with GCF Formula

Least Common Multiple of 592,726,897 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 592,726,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,726,897) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(592,726,897) x common factors =1 x 6 = 6

LCM(592,726,897) = ( 592 × 726 × 897 ) / 6

LCM(592,726,897) = 385523424 / 6

LCM(592,726,897) = 64253904


Lets's calculate GCF of 67,30,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64253904/1

Therefore the LCM of Fractions 592/67,726/30,897/544 is 64253904

Greatest Common Factor of 67,30,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,30,544 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 67,30,544 . The biggest common factor number is the GCF number.
So the greatest common factor 67,30,544 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 592/67, 726/30, 897/544

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 592/67, 726/30, 897/544?

Answer: LCM of Numerators as per given numbers 592/67, 726/30, 897/544 is

LCM of Numerators i.e. for 592,726,897 is 64253904

GCF of denominators i.e. for 67,30,544 is 1.

Thus, LCM of Fractions is 64253904.Finally, LCM of Fractions for 592/67, 726/30, 897/544 is 64253904.