Least Common Multiple of 75/510, 538/784, 446/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/510, 538/784, 446/750 quickly i.e. 4499025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/510, 538/784, 446/750 is 4499025.

LCM(75/510, 538/784, 446/750) = 4499025

LCM of 75/510, 538/784, 446/750

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 75/510,538/784,446/750

Given numbers are 75/510,538/784,446/750

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 75,538,446

Least Common Multiple of Numerators i.e. LCM of 75,538,446 is 8998050.

GCF of Denominators means GCF of 510,784,750 as per the given fractions.

GCF of 510,784,750 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,538,446

LCM of Fractions 75/510,538/784,446/750 is 4499025

2 75, 538, 446
75, 269, 223

∴ So the LCM of the given numbers is 2 x 75 x 269 x 223 = 8998050

Least Common Multiple of 75,538,446 with GCF Formula

Least Common Multiple of 75,538,446 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 75,538,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,538,446) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(75,538,446) x common factors =1 x 2 = 2

LCM(75,538,446) = ( 75 × 538 × 446 ) / 2

LCM(75,538,446) = 17996100 / 2

LCM(75,538,446) = 8998050


Lets's calculate GCF of 510,784,750

2 510, 784, 750
255, 392, 375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8998050/2

Therefore the LCM of Fractions 75/510,538/784,446/750 is 4499025

Greatest Common Factor of 510,784,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,784,750 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 510,784,750 . The biggest common factor number is the GCF number.
So the greatest common factor 510,784,750 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 75/510, 538/784, 446/750

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 75/510, 538/784, 446/750?

Answer: LCM of Numerators as per given numbers 75/510, 538/784, 446/750 is

LCM of Numerators i.e. for 75,538,446 is 8998050

GCF of denominators i.e. for 510,784,750 is 2.

Thus, LCM of Fractions is 4499025.Finally, LCM of Fractions for 75/510, 538/784, 446/750 is 4499025.