Least Common Multiple of 485/69, 353/7429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/69, 353/7429 quickly i.e. 171205/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/69, 353/7429 is 171205/23.

LCM(485/69, 353/7429) = 171205/23

LCM of 485/69, 353/7429

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 485/69,353/7429

Given numbers are 485/69,353/7429

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 485,353

Least Common Multiple of Numerators i.e. LCM of 485,353 is 171205.

GCF of Denominators means GCF of 69,7429 as per the given fractions.

GCF of 69,7429 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,353

LCM of Fractions 485/69,353/7429 is 171205/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 171205

Least Common Multiple of 485,353 with GCF Formula

Least Common Multiple of 485,353 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 485,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,353) = 1

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

GCF(485,353) x common factors =1 x 1 = 1

LCM(485,353) = ( 485 × 353 ) / 1

LCM(485,353) = 171205 / 1

LCM(485,353) = 171205


Lets's calculate GCF of 69,7429

23 69, 7429
3, 323

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171205/23

Therefore the LCM of Fractions 485/69,353/7429 is 171205/23

Greatest Common Factor of 69,7429 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,7429 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 7429

List of positive integer factors of 7429 that divides 7429 without a remainder.

1,17,19,23,323,391,437,7429

Greatest Common Factor

We found the factors 69,7429 . The biggest common factor number is the GCF number.
So the greatest common factor 69,7429 is 23.


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 485/69, 353/7429

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 485/69, 353/7429?

Answer: LCM of Numerators as per given numbers 485/69, 353/7429 is

LCM of Numerators i.e. for 485,353 is 171205

GCF of denominators i.e. for 69,7429 is 23.

Thus, LCM of Fractions is 171205/23.Finally, LCM of Fractions for 485/69, 353/7429 is 171205/23.