Least Common Multiple of 730/853, 410/447, 547/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/853, 410/447, 547/973 quickly i.e. 16371710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/853, 410/447, 547/973 is 16371710.

LCM(730/853, 410/447, 547/973) = 16371710

LCM of 730/853, 410/447, 547/973

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 730/853,410/447,547/973

Given numbers are 730/853,410/447,547/973

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 730,410,547

Least Common Multiple of Numerators i.e. LCM of 730,410,547 is 16371710.

GCF of Denominators means GCF of 853,447,973 as per the given fractions.

GCF of 853,447,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,410,547

LCM of Fractions 730/853,410/447,547/973 is 16371710

2 730, 410, 547
5 365, 205, 547
73, 41, 547

∴ So the LCM of the given numbers is 2 x 5 x 73 x 41 x 547 = 16371710

Least Common Multiple of 730,410,547 with GCF Formula

Least Common Multiple of 730,410,547 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 730,410,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,410,547) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(730,410,547) x common factors =1 x 10 = 10

LCM(730,410,547) = ( 730 × 410 × 547 ) / 10

LCM(730,410,547) = 163717100 / 10

LCM(730,410,547) = 16371710


Lets's calculate GCF of 853,447,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16371710/1

Therefore the LCM of Fractions 730/853,410/447,547/973 is 16371710

Greatest Common Factor of 853,447,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,447,973 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 853,447,973 . The biggest common factor number is the GCF number.
So the greatest common factor 853,447,973 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 730/853, 410/447, 547/973

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 730/853, 410/447, 547/973?

Answer: LCM of Numerators as per given numbers 730/853, 410/447, 547/973 is

LCM of Numerators i.e. for 730,410,547 is 16371710

GCF of denominators i.e. for 853,447,973 is 1.

Thus, LCM of Fractions is 16371710.Finally, LCM of Fractions for 730/853, 410/447, 547/973 is 16371710.