Least Common Multiple of 15/21, 280/45, 905/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/21, 280/45, 905/822 quickly i.e. 50680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/21, 280/45, 905/822 is 50680.

LCM(15/21, 280/45, 905/822) = 50680

LCM of 15/21, 280/45, 905/822

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 15/21,280/45,905/822

Given numbers are 15/21,280/45,905/822

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 15,280,905

Least Common Multiple of Numerators i.e. LCM of 15,280,905 is 152040.

GCF of Denominators means GCF of 21,45,822 as per the given fractions.

GCF of 21,45,822 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,280,905

LCM of Fractions 15/21,280/45,905/822 is 50680

5 15, 280, 905
3, 56, 181

∴ So the LCM of the given numbers is 5 x 3 x 56 x 181 = 152040

Least Common Multiple of 15,280,905 with GCF Formula

Least Common Multiple of 15,280,905 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 15,280,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,280,905) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(15,280,905) x common factors =5 x 5 = 25

LCM(15,280,905) = ( 15 × 280 × 905 ) / 25

LCM(15,280,905) = 3801000 / 25

LCM(15,280,905) = 152040


Lets's calculate GCF of 21,45,822

3 21, 45, 822
7, 15, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152040/3

Therefore the LCM of Fractions 15/21,280/45,905/822 is 50680

Greatest Common Factor of 21,45,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,45,822 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 45

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

1,3,5,9,15,45

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 21,45,822 . The biggest common factor number is the GCF number.
So the greatest common factor 21,45,822 is 3.


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 15/21, 280/45, 905/822

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 15/21, 280/45, 905/822?

Answer: LCM of Numerators as per given numbers 15/21, 280/45, 905/822 is

LCM of Numerators i.e. for 15,280,905 is 152040

GCF of denominators i.e. for 21,45,822 is 3.

Thus, LCM of Fractions is 50680.Finally, LCM of Fractions for 15/21, 280/45, 905/822 is 50680.