Least Common Multiple of 145/228, 4323/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 145/228, 4323/513 quickly i.e. 626835/57 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/228, 4323/513 is 626835/57.

LCM(145/228, 4323/513) = 626835/57

LCM of 145/228, 4323/513

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 145/228,4323/513

Given numbers are 145/228,4323/513

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 145,4323

Least Common Multiple of Numerators i.e. LCM of 145,4323 is 626835.

GCF of Denominators means GCF of 228,513 as per the given fractions.

GCF of 228,513 is 57 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,4323

LCM of Fractions 145/228,4323/513 is 626835/57

Given numbers has no common factors except 1. So, there LCM is their product i.e 626835

Least Common Multiple of 145,4323 with GCF Formula

Least Common Multiple of 145,4323 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 145,4323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,4323) = 1

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

GCF(145,4323) x common factors =1 x 1 = 1

LCM(145,4323) = ( 145 × 4323 ) / 1

LCM(145,4323) = 626835 / 1

LCM(145,4323) = 626835


Lets's calculate GCF of 228,513

3 228, 513
19 76, 171
4, 9

∴ So the GCF of the given numbers is 3 x 19 = 57

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 626835/57

Therefore the LCM of Fractions 145/228,4323/513 is 626835/57

Greatest Common Factor of 228,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,513 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 228,513 . The biggest common factor number is the GCF number.
So the greatest common factor 228,513 is 57.


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 145/228, 4323/513

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 145/228, 4323/513?

Answer: LCM of Numerators as per given numbers 145/228, 4323/513 is

LCM of Numerators i.e. for 145,4323 is 626835

GCF of denominators i.e. for 228,513 is 57.

Thus, LCM of Fractions is 626835/57.Finally, LCM of Fractions for 145/228, 4323/513 is 626835/57.