Least Common Multiple of 27/237, 359/830, 469/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/237, 359/830, 469/119 quickly i.e. 4546017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/237, 359/830, 469/119 is 4546017.

LCM(27/237, 359/830, 469/119) = 4546017

LCM of 27/237, 359/830, 469/119

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 27/237,359/830,469/119

Given numbers are 27/237,359/830,469/119

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 27,359,469

Least Common Multiple of Numerators i.e. LCM of 27,359,469 is 4546017.

GCF of Denominators means GCF of 237,830,119 as per the given fractions.

GCF of 237,830,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,359,469

LCM of Fractions 27/237,359/830,469/119 is 4546017

Given numbers has no common factors except 1. So, there LCM is their product i.e 4546017

Least Common Multiple of 27,359,469 with GCF Formula

Least Common Multiple of 27,359,469 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 27,359,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,359,469) = 1

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

GCF(27,359,469) x common factors =1 x 1 = 1

LCM(27,359,469) = ( 27 × 359 × 469 ) / 1

LCM(27,359,469) = 4546017 / 1

LCM(27,359,469) = 4546017


Lets's calculate GCF of 237,830,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4546017/1

Therefore the LCM of Fractions 27/237,359/830,469/119 is 4546017

Greatest Common Factor of 237,830,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,830,119 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

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 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 237,830,119 . The biggest common factor number is the GCF number.
So the greatest common factor 237,830,119 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 27/237, 359/830, 469/119

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 27/237, 359/830, 469/119?

Answer: LCM of Numerators as per given numbers 27/237, 359/830, 469/119 is

LCM of Numerators i.e. for 27,359,469 is 4546017

GCF of denominators i.e. for 237,830,119 is 1.

Thus, LCM of Fractions is 4546017.Finally, LCM of Fractions for 27/237, 359/830, 469/119 is 4546017.