Least Common Multiple of 621/45, 945/5823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 621/45, 945/5823 quickly i.e. 2415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 621/45, 945/5823 is 2415.

LCM(621/45, 945/5823) = 2415

LCM of 621/45, 945/5823

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 621/45,945/5823

Given numbers are 621/45,945/5823

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 621,945

Least Common Multiple of Numerators i.e. LCM of 621,945 is 21735.

GCF of Denominators means GCF of 45,5823 as per the given fractions.

GCF of 45,5823 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 621,945

LCM of Fractions 621/45,945/5823 is 2415

3 621, 945
3 207, 315
3 69, 105
23, 35

∴ So the LCM of the given numbers is 3 x 3 x 3 x 23 x 35 = 21735

Least Common Multiple of 621,945 with GCF Formula

Least Common Multiple of 621,945 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 621,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,945) = 27

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

GCF(621,945) x common factors =27 x 1 = 27

LCM(621,945) = ( 621 × 945 ) / 27

LCM(621,945) = 586845 / 27

LCM(621,945) = 21735


Lets's calculate GCF of 45,5823

3 45, 5823
3 15, 1941
5, 647

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21735/9

Therefore the LCM of Fractions 621/45,945/5823 is 2415

Greatest Common Factor of 45,5823 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,5823 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1,3,9,647,1941,5823

Greatest Common Factor

We found the factors 45,5823 . The biggest common factor number is the GCF number.
So the greatest common factor 45,5823 is 9.


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 621/45, 945/5823

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 621/45, 945/5823?

Answer: LCM of Numerators as per given numbers 621/45, 945/5823 is

LCM of Numerators i.e. for 621,945 is 21735

GCF of denominators i.e. for 45,5823 is 9.

Thus, LCM of Fractions is 2415.Finally, LCM of Fractions for 621/45, 945/5823 is 2415.