Least Common Multiple of 75/533, 241/617, 349/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/533, 241/617, 349/759 quickly i.e. 6308175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/533, 241/617, 349/759 is 6308175.

LCM(75/533, 241/617, 349/759) = 6308175

LCM of 75/533, 241/617, 349/759

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 75/533,241/617,349/759

Given numbers are 75/533,241/617,349/759

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 75,241,349

Least Common Multiple of Numerators i.e. LCM of 75,241,349 is 6308175.

GCF of Denominators means GCF of 533,617,759 as per the given fractions.

GCF of 533,617,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,241,349

LCM of Fractions 75/533,241/617,349/759 is 6308175

Given numbers has no common factors except 1. So, there LCM is their product i.e 6308175

Least Common Multiple of 75,241,349 with GCF Formula

Least Common Multiple of 75,241,349 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 75,241,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,241,349) = 1

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

GCF(75,241,349) x common factors =1 x 1 = 1

LCM(75,241,349) = ( 75 × 241 × 349 ) / 1

LCM(75,241,349) = 6308175 / 1

LCM(75,241,349) = 6308175


Lets's calculate GCF of 533,617,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6308175/1

Therefore the LCM of Fractions 75/533,241/617,349/759 is 6308175

Greatest Common Factor of 533,617,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,617,759 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 533,617,759 . The biggest common factor number is the GCF number.
So the greatest common factor 533,617,759 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 75/533, 241/617, 349/759

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 75/533, 241/617, 349/759?

Answer: LCM of Numerators as per given numbers 75/533, 241/617, 349/759 is

LCM of Numerators i.e. for 75,241,349 is 6308175

GCF of denominators i.e. for 533,617,759 is 1.

Thus, LCM of Fractions is 6308175.Finally, LCM of Fractions for 75/533, 241/617, 349/759 is 6308175.