Least Common Multiple of 466/364, 4409/2618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/364, 4409/2618 quickly i.e. 2054594/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/364, 4409/2618 is 2054594/14.

LCM(466/364, 4409/2618) = 2054594/14

LCM of 466/364, 4409/2618

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 466/364,4409/2618

Given numbers are 466/364,4409/2618

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 466,4409

Least Common Multiple of Numerators i.e. LCM of 466,4409 is 2054594.

GCF of Denominators means GCF of 364,2618 as per the given fractions.

GCF of 364,2618 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,4409

LCM of Fractions 466/364,4409/2618 is 2054594/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 2054594

Least Common Multiple of 466,4409 with GCF Formula

Least Common Multiple of 466,4409 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 466,4409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,4409) = 1

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

GCF(466,4409) x common factors =1 x 1 = 1

LCM(466,4409) = ( 466 × 4409 ) / 1

LCM(466,4409) = 2054594 / 1

LCM(466,4409) = 2054594


Lets's calculate GCF of 364,2618

2 364, 2618
7 182, 1309
26, 187

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2054594/14

Therefore the LCM of Fractions 466/364,4409/2618 is 2054594/14

Greatest Common Factor of 364,2618 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,2618 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 2618

List of positive integer factors of 2618 that divides 2618 without a remainder.

1,2,7,11,14,17,22,34,77,119,154,187,238,374,1309,2618

Greatest Common Factor

We found the factors 364,2618 . The biggest common factor number is the GCF number.
So the greatest common factor 364,2618 is 14.


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 466/364, 4409/2618

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 466/364, 4409/2618?

Answer: LCM of Numerators as per given numbers 466/364, 4409/2618 is

LCM of Numerators i.e. for 466,4409 is 2054594

GCF of denominators i.e. for 364,2618 is 14.

Thus, LCM of Fractions is 2054594/14.Finally, LCM of Fractions for 466/364, 4409/2618 is 2054594/14.