Least Common Multiple of 355/18, 284/9452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 355/18, 284/9452 quickly i.e. 710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 355/18, 284/9452 is 710.

LCM(355/18, 284/9452) = 710

LCM of 355/18, 284/9452

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 355/18,284/9452

Given numbers are 355/18,284/9452

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 355,284

Least Common Multiple of Numerators i.e. LCM of 355,284 is 1420.

GCF of Denominators means GCF of 18,9452 as per the given fractions.

GCF of 18,9452 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 355,284

LCM of Fractions 355/18,284/9452 is 710

71 355, 284
5, 4

∴ So the LCM of the given numbers is 71 x 5 x 4 = 1420

Least Common Multiple of 355,284 with GCF Formula

Least Common Multiple of 355,284 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 355,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,284) = 71

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

GCF(355,284) x common factors =71 x 1 = 71

LCM(355,284) = ( 355 × 284 ) / 71

LCM(355,284) = 100820 / 71

LCM(355,284) = 1420


Lets's calculate GCF of 18,9452

2 18, 9452
9, 4726

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1420/2

Therefore the LCM of Fractions 355/18,284/9452 is 710

Greatest Common Factor of 18,9452 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,9452 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 9452

List of positive integer factors of 9452 that divides 9452 without a remainder.

1,2,4,17,34,68,139,278,556,2363,4726,9452

Greatest Common Factor

We found the factors 18,9452 . The biggest common factor number is the GCF number.
So the greatest common factor 18,9452 is 2.


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 355/18, 284/9452

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 355/18, 284/9452?

Answer: LCM of Numerators as per given numbers 355/18, 284/9452 is

LCM of Numerators i.e. for 355,284 is 1420

GCF of denominators i.e. for 18,9452 is 2.

Thus, LCM of Fractions is 710.Finally, LCM of Fractions for 355/18, 284/9452 is 710.