Least Common Multiple of 462/45, 509/3487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/45, 509/3487 quickly i.e. 235158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/45, 509/3487 is 235158.

LCM(462/45, 509/3487) = 235158

LCM of 462/45, 509/3487

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 462/45,509/3487

Given numbers are 462/45,509/3487

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 462,509

Least Common Multiple of Numerators i.e. LCM of 462,509 is 235158.

GCF of Denominators means GCF of 45,3487 as per the given fractions.

GCF of 45,3487 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,509

LCM of Fractions 462/45,509/3487 is 235158

Given numbers has no common factors except 1. So, there LCM is their product i.e 235158

Least Common Multiple of 462,509 with GCF Formula

Least Common Multiple of 462,509 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 462,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,509) = 1

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

GCF(462,509) x common factors =1 x 1 = 1

LCM(462,509) = ( 462 × 509 ) / 1

LCM(462,509) = 235158 / 1

LCM(462,509) = 235158


Lets's calculate GCF of 45,3487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235158/1

Therefore the LCM of Fractions 462/45,509/3487 is 235158

Greatest Common Factor of 45,3487 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,3487 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 3487

List of positive integer factors of 3487 that divides 3487 without a remainder.

1,11,317,3487

Greatest Common Factor

We found the factors 45,3487 . The biggest common factor number is the GCF number.
So the greatest common factor 45,3487 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 462/45, 509/3487

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 462/45, 509/3487?

Answer: LCM of Numerators as per given numbers 462/45, 509/3487 is

LCM of Numerators i.e. for 462,509 is 235158

GCF of denominators i.e. for 45,3487 is 1.

Thus, LCM of Fractions is 235158.Finally, LCM of Fractions for 462/45, 509/3487 is 235158.