Least Common Multiple of 75/621, 467/287, 352/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/621, 467/287, 352/630 quickly i.e. 12328800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/621, 467/287, 352/630 is 12328800.

LCM(75/621, 467/287, 352/630) = 12328800

LCM of 75/621, 467/287, 352/630

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 75/621,467/287,352/630

Given numbers are 75/621,467/287,352/630

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 75,467,352

Least Common Multiple of Numerators i.e. LCM of 75,467,352 is 12328800.

GCF of Denominators means GCF of 621,287,630 as per the given fractions.

GCF of 621,287,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,467,352

LCM of Fractions 75/621,467/287,352/630 is 12328800

Given numbers has no common factors except 1. So, there LCM is their product i.e 12328800

Least Common Multiple of 75,467,352 with GCF Formula

Least Common Multiple of 75,467,352 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 75,467,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,467,352) = 1

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

GCF(75,467,352) x common factors =1 x 1 = 1

LCM(75,467,352) = ( 75 × 467 × 352 ) / 1

LCM(75,467,352) = 12328800 / 1

LCM(75,467,352) = 12328800


Lets's calculate GCF of 621,287,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12328800/1

Therefore the LCM of Fractions 75/621,467/287,352/630 is 12328800

Greatest Common Factor of 621,287,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,287,630 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 621,287,630 . The biggest common factor number is the GCF number.
So the greatest common factor 621,287,630 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 75/621, 467/287, 352/630

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 75/621, 467/287, 352/630?

Answer: LCM of Numerators as per given numbers 75/621, 467/287, 352/630 is

LCM of Numerators i.e. for 75,467,352 is 12328800

GCF of denominators i.e. for 621,287,630 is 1.

Thus, LCM of Fractions is 12328800.Finally, LCM of Fractions for 75/621, 467/287, 352/630 is 12328800.