Least Common Multiple of 229/513, 4007/1462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 229/513, 4007/1462 quickly i.e. 917603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/513, 4007/1462 is 917603.

LCM(229/513, 4007/1462) = 917603

LCM of 229/513, 4007/1462

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 229/513,4007/1462

Given numbers are 229/513,4007/1462

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 229,4007

Least Common Multiple of Numerators i.e. LCM of 229,4007 is 917603.

GCF of Denominators means GCF of 513,1462 as per the given fractions.

GCF of 513,1462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,4007

LCM of Fractions 229/513,4007/1462 is 917603

Given numbers has no common factors except 1. So, there LCM is their product i.e 917603

Least Common Multiple of 229,4007 with GCF Formula

Least Common Multiple of 229,4007 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 229,4007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,4007) = 1

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

GCF(229,4007) x common factors =1 x 1 = 1

LCM(229,4007) = ( 229 × 4007 ) / 1

LCM(229,4007) = 917603 / 1

LCM(229,4007) = 917603


Lets's calculate GCF of 513,1462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 917603/1

Therefore the LCM of Fractions 229/513,4007/1462 is 917603

Greatest Common Factor of 513,1462 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,1462 By Matching Biggest Common Factor Method

Factors of 513

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

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

Factors of 1462

List of positive integer factors of 1462 that divides 1462 without a remainder.

1,2,17,34,43,86,731,1462

Greatest Common Factor

We found the factors 513,1462 . The biggest common factor number is the GCF number.
So the greatest common factor 513,1462 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 229/513, 4007/1462

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 229/513, 4007/1462?

Answer: LCM of Numerators as per given numbers 229/513, 4007/1462 is

LCM of Numerators i.e. for 229,4007 is 917603

GCF of denominators i.e. for 513,1462 is 1.

Thus, LCM of Fractions is 917603.Finally, LCM of Fractions for 229/513, 4007/1462 is 917603.