Least Common Multiple of 605/46, 396/52, 454/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 605/46, 396/52, 454/548 quickly i.e. 2472030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 605/46, 396/52, 454/548 is 2472030.

LCM(605/46, 396/52, 454/548) = 2472030

LCM of 605/46, 396/52, 454/548

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 605/46,396/52,454/548

Given numbers are 605/46,396/52,454/548

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 605,396,454

Least Common Multiple of Numerators i.e. LCM of 605,396,454 is 4944060.

GCF of Denominators means GCF of 46,52,548 as per the given fractions.

GCF of 46,52,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 605,396,454

LCM of Fractions 605/46,396/52,454/548 is 2472030

2 605, 396, 454
11 605, 198, 227
55, 18, 227

∴ So the LCM of the given numbers is 2 x 11 x 55 x 18 x 227 = 4944060

Least Common Multiple of 605,396,454 with GCF Formula

Least Common Multiple of 605,396,454 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 605,396,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,396,454) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(605,396,454) x common factors =1 x 22 = 22

LCM(605,396,454) = ( 605 × 396 × 454 ) / 22

LCM(605,396,454) = 108769320 / 22

LCM(605,396,454) = 4944060


Lets's calculate GCF of 46,52,548

2 46, 52, 548
23, 26, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4944060/2

Therefore the LCM of Fractions 605/46,396/52,454/548 is 2472030

Greatest Common Factor of 46,52,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,52,548 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 46,52,548 . The biggest common factor number is the GCF number.
So the greatest common factor 46,52,548 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 605/46, 396/52, 454/548

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 605/46, 396/52, 454/548?

Answer: LCM of Numerators as per given numbers 605/46, 396/52, 454/548 is

LCM of Numerators i.e. for 605,396,454 is 4944060

GCF of denominators i.e. for 46,52,548 is 2.

Thus, LCM of Fractions is 2472030.Finally, LCM of Fractions for 605/46, 396/52, 454/548 is 2472030.