Least Common Multiple of 509/189, 225/830, 364/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/189, 225/830, 364/267 quickly i.e. 41687100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/189, 225/830, 364/267 is 41687100.

LCM(509/189, 225/830, 364/267) = 41687100

LCM of 509/189, 225/830, 364/267

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 509/189,225/830,364/267

Given numbers are 509/189,225/830,364/267

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 509,225,364

Least Common Multiple of Numerators i.e. LCM of 509,225,364 is 41687100.

GCF of Denominators means GCF of 189,830,267 as per the given fractions.

GCF of 189,830,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,225,364

LCM of Fractions 509/189,225/830,364/267 is 41687100

Given numbers has no common factors except 1. So, there LCM is their product i.e 41687100

Least Common Multiple of 509,225,364 with GCF Formula

Least Common Multiple of 509,225,364 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 509,225,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,225,364) = 1

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

GCF(509,225,364) x common factors =1 x 1 = 1

LCM(509,225,364) = ( 509 × 225 × 364 ) / 1

LCM(509,225,364) = 41687100 / 1

LCM(509,225,364) = 41687100


Lets's calculate GCF of 189,830,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41687100/1

Therefore the LCM of Fractions 509/189,225/830,364/267 is 41687100

Greatest Common Factor of 189,830,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,830,267 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 189,830,267 . The biggest common factor number is the GCF number.
So the greatest common factor 189,830,267 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 509/189, 225/830, 364/267

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 509/189, 225/830, 364/267?

Answer: LCM of Numerators as per given numbers 509/189, 225/830, 364/267 is

LCM of Numerators i.e. for 509,225,364 is 41687100

GCF of denominators i.e. for 189,830,267 is 1.

Thus, LCM of Fractions is 41687100.Finally, LCM of Fractions for 509/189, 225/830, 364/267 is 41687100.