Least Common Multiple of 45/562, 40/728, 756/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/562, 40/728, 756/825 quickly i.e. 7560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/562, 40/728, 756/825 is 7560.

LCM(45/562, 40/728, 756/825) = 7560

LCM of 45/562, 40/728, 756/825

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 45/562,40/728,756/825

Given numbers are 45/562,40/728,756/825

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 45,40,756

Least Common Multiple of Numerators i.e. LCM of 45,40,756 is 7560.

GCF of Denominators means GCF of 562,728,825 as per the given fractions.

GCF of 562,728,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,40,756

LCM of Fractions 45/562,40/728,756/825 is 7560

2 45, 40, 756
2 45, 20, 378
3 45, 10, 189
3 15, 10, 63
5 5, 10, 21
1, 2, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 2 x 21 = 7560

Least Common Multiple of 45,40,756 with GCF Formula

Least Common Multiple of 45,40,756 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 45,40,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,40,756) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(45,40,756) x common factors =1 x 180 = 180

LCM(45,40,756) = ( 45 × 40 × 756 ) / 180

LCM(45,40,756) = 1360800 / 180

LCM(45,40,756) = 7560


Lets's calculate GCF of 562,728,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7560/1

Therefore the LCM of Fractions 45/562,40/728,756/825 is 7560

Greatest Common Factor of 562,728,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,728,825 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

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

Greatest Common Factor

We found the factors 562,728,825 . The biggest common factor number is the GCF number.
So the greatest common factor 562,728,825 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 45/562, 40/728, 756/825

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 45/562, 40/728, 756/825?

Answer: LCM of Numerators as per given numbers 45/562, 40/728, 756/825 is

LCM of Numerators i.e. for 45,40,756 is 7560

GCF of denominators i.e. for 562,728,825 is 1.

Thus, LCM of Fractions is 7560.Finally, LCM of Fractions for 45/562, 40/728, 756/825 is 7560.