Least Common Multiple of 45/647, 30/825, 747/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/647, 30/825, 747/711 quickly i.e. 7470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/647, 30/825, 747/711 is 7470.

LCM(45/647, 30/825, 747/711) = 7470

LCM of 45/647, 30/825, 747/711

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 45/647,30/825,747/711

Given numbers are 45/647,30/825,747/711

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 45,30,747

Least Common Multiple of Numerators i.e. LCM of 45,30,747 is 7470.

GCF of Denominators means GCF of 647,825,711 as per the given fractions.

GCF of 647,825,711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,30,747

LCM of Fractions 45/647,30/825,747/711 is 7470

3 45, 30, 747
3 15, 10, 249
5 5, 10, 83
1, 2, 83

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 2 x 83 = 7470

Least Common Multiple of 45,30,747 with GCF Formula

Least Common Multiple of 45,30,747 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 45,30,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,30,747) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(45,30,747) x common factors =3 x 45 = 135

LCM(45,30,747) = ( 45 × 30 × 747 ) / 135

LCM(45,30,747) = 1008450 / 135

LCM(45,30,747) = 7470


Lets's calculate GCF of 647,825,711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7470/1

Therefore the LCM of Fractions 45/647,30/825,747/711 is 7470

Greatest Common Factor of 647,825,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,825,711 By Matching Biggest Common Factor Method

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 647,825,711 . The biggest common factor number is the GCF number.
So the greatest common factor 647,825,711 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 45/647, 30/825, 747/711

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 45/647, 30/825, 747/711?

Answer: LCM of Numerators as per given numbers 45/647, 30/825, 747/711 is

LCM of Numerators i.e. for 45,30,747 is 7470

GCF of denominators i.e. for 647,825,711 is 1.

Thus, LCM of Fractions is 7470.Finally, LCM of Fractions for 45/647, 30/825, 747/711 is 7470.