Least Common Multiple of 75/382, 289/82, 611/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/382, 289/82, 611/458 quickly i.e. 13243425/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/382, 289/82, 611/458 is 13243425/2.

LCM(75/382, 289/82, 611/458) = 13243425/2

LCM of 75/382, 289/82, 611/458

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 75/382,289/82,611/458

Given numbers are 75/382,289/82,611/458

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 75,289,611

Least Common Multiple of Numerators i.e. LCM of 75,289,611 is 13243425.

GCF of Denominators means GCF of 382,82,458 as per the given fractions.

GCF of 382,82,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,289,611

LCM of Fractions 75/382,289/82,611/458 is 13243425/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 13243425

Least Common Multiple of 75,289,611 with GCF Formula

Least Common Multiple of 75,289,611 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 75,289,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,289,611) = 1

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

GCF(75,289,611) x common factors =1 x 1 = 1

LCM(75,289,611) = ( 75 × 289 × 611 ) / 1

LCM(75,289,611) = 13243425 / 1

LCM(75,289,611) = 13243425


Lets's calculate GCF of 382,82,458

2 382, 82, 458
191, 41, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13243425/2

Therefore the LCM of Fractions 75/382,289/82,611/458 is 13243425/2

Greatest Common Factor of 382,82,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,82,458 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 382,82,458 . The biggest common factor number is the GCF number.
So the greatest common factor 382,82,458 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 75/382, 289/82, 611/458

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 75/382, 289/82, 611/458?

Answer: LCM of Numerators as per given numbers 75/382, 289/82, 611/458 is

LCM of Numerators i.e. for 75,289,611 is 13243425

GCF of denominators i.e. for 382,82,458 is 2.

Thus, LCM of Fractions is 13243425/2.Finally, LCM of Fractions for 75/382, 289/82, 611/458 is 13243425/2.