Least Common Multiple of 30/385, 463/360, 263/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/385, 463/360, 263/246 quickly i.e. 3653070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/385, 463/360, 263/246 is 3653070.

LCM(30/385, 463/360, 263/246) = 3653070

LCM of 30/385, 463/360, 263/246

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 30/385,463/360,263/246

Given numbers are 30/385,463/360,263/246

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 30,463,263

Least Common Multiple of Numerators i.e. LCM of 30,463,263 is 3653070.

GCF of Denominators means GCF of 385,360,246 as per the given fractions.

GCF of 385,360,246 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,463,263

LCM of Fractions 30/385,463/360,263/246 is 3653070

Given numbers has no common factors except 1. So, there LCM is their product i.e 3653070

Least Common Multiple of 30,463,263 with GCF Formula

Least Common Multiple of 30,463,263 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 30,463,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,463,263) = 1

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

GCF(30,463,263) x common factors =1 x 1 = 1

LCM(30,463,263) = ( 30 × 463 × 263 ) / 1

LCM(30,463,263) = 3653070 / 1

LCM(30,463,263) = 3653070


Lets's calculate GCF of 385,360,246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3653070/1

Therefore the LCM of Fractions 30/385,463/360,263/246 is 3653070

Greatest Common Factor of 385,360,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,360,246 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 385,360,246 . The biggest common factor number is the GCF number.
So the greatest common factor 385,360,246 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 30/385, 463/360, 263/246

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 30/385, 463/360, 263/246?

Answer: LCM of Numerators as per given numbers 30/385, 463/360, 263/246 is

LCM of Numerators i.e. for 30,463,263 is 3653070

GCF of denominators i.e. for 385,360,246 is 1.

Thus, LCM of Fractions is 3653070.Finally, LCM of Fractions for 30/385, 463/360, 263/246 is 3653070.