Least Common Multiple of 509/28, 129/98, 464/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/28, 129/98, 464/606 quickly i.e. 15233352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/28, 129/98, 464/606 is 15233352.

LCM(509/28, 129/98, 464/606) = 15233352

LCM of 509/28, 129/98, 464/606

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 509/28,129/98,464/606

Given numbers are 509/28,129/98,464/606

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 509,129,464

Least Common Multiple of Numerators i.e. LCM of 509,129,464 is 30466704.

GCF of Denominators means GCF of 28,98,606 as per the given fractions.

GCF of 28,98,606 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,129,464

LCM of Fractions 509/28,129/98,464/606 is 15233352

Given numbers has no common factors except 1. So, there LCM is their product i.e 30466704

Least Common Multiple of 509,129,464 with GCF Formula

Least Common Multiple of 509,129,464 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 509,129,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,129,464) = 1

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

GCF(509,129,464) x common factors =1 x 1 = 1

LCM(509,129,464) = ( 509 × 129 × 464 ) / 1

LCM(509,129,464) = 30466704 / 1

LCM(509,129,464) = 30466704


Lets's calculate GCF of 28,98,606

2 28, 98, 606
14, 49, 303

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30466704/2

Therefore the LCM of Fractions 509/28,129/98,464/606 is 15233352

Greatest Common Factor of 28,98,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,98,606 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 28,98,606 . The biggest common factor number is the GCF number.
So the greatest common factor 28,98,606 is 2.


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 509/28, 129/98, 464/606

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 509/28, 129/98, 464/606?

Answer: LCM of Numerators as per given numbers 509/28, 129/98, 464/606 is

LCM of Numerators i.e. for 509,129,464 is 30466704

GCF of denominators i.e. for 28,98,606 is 2.

Thus, LCM of Fractions is 15233352.Finally, LCM of Fractions for 509/28, 129/98, 464/606 is 15233352.