Least Common Multiple of 514/645, 509/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/645, 509/194 quickly i.e. 261626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/645, 509/194 is 261626.

LCM(514/645, 509/194) = 261626

LCM of 514/645, 509/194

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 514/645,509/194

Given numbers are 514/645,509/194

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 514,509

Least Common Multiple of Numerators i.e. LCM of 514,509 is 261626.

GCF of Denominators means GCF of 645,194 as per the given fractions.

GCF of 645,194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,509

LCM of Fractions 514/645,509/194 is 261626

Given numbers has no common factors except 1. So, there LCM is their product i.e 261626

Least Common Multiple of 514,509 with GCF Formula

Least Common Multiple of 514,509 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 514,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,509) = 1

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

GCF(514,509) x common factors =1 x 1 = 1

LCM(514,509) = ( 514 × 509 ) / 1

LCM(514,509) = 261626 / 1

LCM(514,509) = 261626


Lets's calculate GCF of 645,194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261626/1

Therefore the LCM of Fractions 514/645,509/194 is 261626

Greatest Common Factor of 645,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,194 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 645,194 . The biggest common factor number is the GCF number.
So the greatest common factor 645,194 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 514/645, 509/194

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 514/645, 509/194?

Answer: LCM of Numerators as per given numbers 514/645, 509/194 is

LCM of Numerators i.e. for 514,509 is 261626

GCF of denominators i.e. for 645,194 is 1.

Thus, LCM of Fractions is 261626.Finally, LCM of Fractions for 514/645, 509/194 is 261626.