Least Common Multiple of 385/21, 936/2258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 385/21, 936/2258 quickly i.e. 360360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/21, 936/2258 is 360360.

LCM(385/21, 936/2258) = 360360

LCM of 385/21, 936/2258

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 385/21,936/2258

Given numbers are 385/21,936/2258

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 385,936

Least Common Multiple of Numerators i.e. LCM of 385,936 is 360360.

GCF of Denominators means GCF of 21,2258 as per the given fractions.

GCF of 21,2258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,936

LCM of Fractions 385/21,936/2258 is 360360

Given numbers has no common factors except 1. So, there LCM is their product i.e 360360

Least Common Multiple of 385,936 with GCF Formula

Least Common Multiple of 385,936 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 385,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,936) = 1

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

GCF(385,936) x common factors =1 x 1 = 1

LCM(385,936) = ( 385 × 936 ) / 1

LCM(385,936) = 360360 / 1

LCM(385,936) = 360360


Lets's calculate GCF of 21,2258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360360/1

Therefore the LCM of Fractions 385/21,936/2258 is 360360

Greatest Common Factor of 21,2258 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,2258 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 2258

List of positive integer factors of 2258 that divides 2258 without a remainder.

1,2,1129,2258

Greatest Common Factor

We found the factors 21,2258 . The biggest common factor number is the GCF number.
So the greatest common factor 21,2258 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 385/21, 936/2258

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 385/21, 936/2258?

Answer: LCM of Numerators as per given numbers 385/21, 936/2258 is

LCM of Numerators i.e. for 385,936 is 360360

GCF of denominators i.e. for 21,2258 is 1.

Thus, LCM of Fractions is 360360.Finally, LCM of Fractions for 385/21, 936/2258 is 360360.