Least Common Multiple of 240/67, 345/66, 509/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/67, 345/66, 509/498 quickly i.e. 2809680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/67, 345/66, 509/498 is 2809680.

LCM(240/67, 345/66, 509/498) = 2809680

LCM of 240/67, 345/66, 509/498

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 240/67,345/66,509/498

Given numbers are 240/67,345/66,509/498

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 240,345,509

Least Common Multiple of Numerators i.e. LCM of 240,345,509 is 2809680.

GCF of Denominators means GCF of 67,66,498 as per the given fractions.

GCF of 67,66,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,345,509

LCM of Fractions 240/67,345/66,509/498 is 2809680

3 240, 345, 509
5 80, 115, 509
16, 23, 509

∴ So the LCM of the given numbers is 3 x 5 x 16 x 23 x 509 = 2809680

Least Common Multiple of 240,345,509 with GCF Formula

Least Common Multiple of 240,345,509 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 240,345,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,345,509) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(240,345,509) x common factors =1 x 15 = 15

LCM(240,345,509) = ( 240 × 345 × 509 ) / 15

LCM(240,345,509) = 42145200 / 15

LCM(240,345,509) = 2809680


Lets's calculate GCF of 67,66,498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2809680/1

Therefore the LCM of Fractions 240/67,345/66,509/498 is 2809680

Greatest Common Factor of 67,66,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,66,498 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 67,66,498 . The biggest common factor number is the GCF number.
So the greatest common factor 67,66,498 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 240/67, 345/66, 509/498

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 240/67, 345/66, 509/498?

Answer: LCM of Numerators as per given numbers 240/67, 345/66, 509/498 is

LCM of Numerators i.e. for 240,345,509 is 2809680

GCF of denominators i.e. for 67,66,498 is 1.

Thus, LCM of Fractions is 2809680.Finally, LCM of Fractions for 240/67, 345/66, 509/498 is 2809680.