Least Common Multiple of 28/821, 393/62, 661/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/821, 393/62, 661/920 quickly i.e. 7273644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/821, 393/62, 661/920 is 7273644.

LCM(28/821, 393/62, 661/920) = 7273644

LCM of 28/821, 393/62, 661/920

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 28/821,393/62,661/920

Given numbers are 28/821,393/62,661/920

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 28,393,661

Least Common Multiple of Numerators i.e. LCM of 28,393,661 is 7273644.

GCF of Denominators means GCF of 821,62,920 as per the given fractions.

GCF of 821,62,920 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,393,661

LCM of Fractions 28/821,393/62,661/920 is 7273644

Given numbers has no common factors except 1. So, there LCM is their product i.e 7273644

Least Common Multiple of 28,393,661 with GCF Formula

Least Common Multiple of 28,393,661 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 28,393,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,393,661) = 1

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

GCF(28,393,661) x common factors =1 x 1 = 1

LCM(28,393,661) = ( 28 × 393 × 661 ) / 1

LCM(28,393,661) = 7273644 / 1

LCM(28,393,661) = 7273644


Lets's calculate GCF of 821,62,920

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7273644/1

Therefore the LCM of Fractions 28/821,393/62,661/920 is 7273644

Greatest Common Factor of 821,62,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,62,920 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 821,62,920 . The biggest common factor number is the GCF number.
So the greatest common factor 821,62,920 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 28/821, 393/62, 661/920

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 28/821, 393/62, 661/920?

Answer: LCM of Numerators as per given numbers 28/821, 393/62, 661/920 is

LCM of Numerators i.e. for 28,393,661 is 7273644

GCF of denominators i.e. for 821,62,920 is 1.

Thus, LCM of Fractions is 7273644.Finally, LCM of Fractions for 28/821, 393/62, 661/920 is 7273644.