Least Common Multiple of 146/48, 454/5803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/48, 454/5803 quickly i.e. 33142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/48, 454/5803 is 33142.

LCM(146/48, 454/5803) = 33142

LCM of 146/48, 454/5803

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 146/48,454/5803

Given numbers are 146/48,454/5803

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 146,454

Least Common Multiple of Numerators i.e. LCM of 146,454 is 33142.

GCF of Denominators means GCF of 48,5803 as per the given fractions.

GCF of 48,5803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,454

LCM of Fractions 146/48,454/5803 is 33142

2 146, 454
73, 227

∴ So the LCM of the given numbers is 2 x 73 x 227 = 33142

Least Common Multiple of 146,454 with GCF Formula

Least Common Multiple of 146,454 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 146,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,454) = 2

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

GCF(146,454) x common factors =2 x 1 = 2

LCM(146,454) = ( 146 × 454 ) / 2

LCM(146,454) = 66284 / 2

LCM(146,454) = 33142


Lets's calculate GCF of 48,5803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33142/1

Therefore the LCM of Fractions 146/48,454/5803 is 33142

Greatest Common Factor of 48,5803 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,5803 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 5803

List of positive integer factors of 5803 that divides 5803 without a remainder.

1,7,829,5803

Greatest Common Factor

We found the factors 48,5803 . The biggest common factor number is the GCF number.
So the greatest common factor 48,5803 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 146/48, 454/5803

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 146/48, 454/5803?

Answer: LCM of Numerators as per given numbers 146/48, 454/5803 is

LCM of Numerators i.e. for 146,454 is 33142

GCF of denominators i.e. for 48,5803 is 1.

Thus, LCM of Fractions is 33142.Finally, LCM of Fractions for 146/48, 454/5803 is 33142.