Least Common Multiple of 7029/403, 3585/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7029/403, 3585/273 quickly i.e. 8399655/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7029/403, 3585/273 is 8399655/13.

LCM(7029/403, 3585/273) = 8399655/13

LCM of 7029/403, 3585/273

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 7029/403,3585/273

Given numbers are 7029/403,3585/273

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 7029,3585

Least Common Multiple of Numerators i.e. LCM of 7029,3585 is 8399655.

GCF of Denominators means GCF of 403,273 as per the given fractions.

GCF of 403,273 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7029,3585

LCM of Fractions 7029/403,3585/273 is 8399655/13

3 7029, 3585
2343, 1195

∴ So the LCM of the given numbers is 3 x 2343 x 1195 = 8399655

Least Common Multiple of 7029,3585 with GCF Formula

Least Common Multiple of 7029,3585 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 7029,3585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7029,3585) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(7029,3585) x common factors =3 x 1 = 3

LCM(7029,3585) = ( 7029 × 3585 ) / 3

LCM(7029,3585) = 25198965 / 3

LCM(7029,3585) = 8399655


Lets's calculate GCF of 403,273

13 403, 273
31, 21

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8399655/13

Therefore the LCM of Fractions 7029/403,3585/273 is 8399655/13

Greatest Common Factor of 403,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,273 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 403,273 . The biggest common factor number is the GCF number.
So the greatest common factor 403,273 is 13.


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 7029/403, 3585/273

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 7029/403, 3585/273?

Answer: LCM of Numerators as per given numbers 7029/403, 3585/273 is

LCM of Numerators i.e. for 7029,3585 is 8399655

GCF of denominators i.e. for 403,273 is 13.

Thus, LCM of Fractions is 8399655/13.Finally, LCM of Fractions for 7029/403, 3585/273 is 8399655/13.