Least Common Multiple of 897/63, 473/78, 729/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 897/63, 473/78, 729/390 quickly i.e. 34366761 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 897/63, 473/78, 729/390 is 34366761.

LCM(897/63, 473/78, 729/390) = 34366761

LCM of 897/63, 473/78, 729/390

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 897/63,473/78,729/390

Given numbers are 897/63,473/78,729/390

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 897,473,729

Least Common Multiple of Numerators i.e. LCM of 897,473,729 is 103100283.

GCF of Denominators means GCF of 63,78,390 as per the given fractions.

GCF of 63,78,390 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 897,473,729

LCM of Fractions 897/63,473/78,729/390 is 34366761

3 897, 473, 729
299, 473, 243

∴ So the LCM of the given numbers is 3 x 299 x 473 x 243 = 103100283

Least Common Multiple of 897,473,729 with GCF Formula

Least Common Multiple of 897,473,729 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 897,473,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,473,729) = 1

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

GCF(897,473,729) x common factors =1 x 3 = 3

LCM(897,473,729) = ( 897 × 473 × 729 ) / 3

LCM(897,473,729) = 309300849 / 3

LCM(897,473,729) = 103100283


Lets's calculate GCF of 63,78,390

3 63, 78, 390
21, 26, 130

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103100283/3

Therefore the LCM of Fractions 897/63,473/78,729/390 is 34366761

Greatest Common Factor of 63,78,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,78,390 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 63,78,390 . The biggest common factor number is the GCF number.
So the greatest common factor 63,78,390 is 3.


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 897/63, 473/78, 729/390

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 897/63, 473/78, 729/390?

Answer: LCM of Numerators as per given numbers 897/63, 473/78, 729/390 is

LCM of Numerators i.e. for 897,473,729 is 103100283

GCF of denominators i.e. for 63,78,390 is 3.

Thus, LCM of Fractions is 34366761.Finally, LCM of Fractions for 897/63, 473/78, 729/390 is 34366761.