Least Common Multiple of 28/23, 827/33, 451/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/23, 827/33, 451/707 quickly i.e. 10443356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/23, 827/33, 451/707 is 10443356.

LCM(28/23, 827/33, 451/707) = 10443356

LCM of 28/23, 827/33, 451/707

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 28/23,827/33,451/707

Given numbers are 28/23,827/33,451/707

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 28,827,451

Least Common Multiple of Numerators i.e. LCM of 28,827,451 is 10443356.

GCF of Denominators means GCF of 23,33,707 as per the given fractions.

GCF of 23,33,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,827,451

LCM of Fractions 28/23,827/33,451/707 is 10443356

Given numbers has no common factors except 1. So, there LCM is their product i.e 10443356

Least Common Multiple of 28,827,451 with GCF Formula

Least Common Multiple of 28,827,451 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 28,827,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,827,451) = 1

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

GCF(28,827,451) x common factors =1 x 1 = 1

LCM(28,827,451) = ( 28 × 827 × 451 ) / 1

LCM(28,827,451) = 10443356 / 1

LCM(28,827,451) = 10443356


Lets's calculate GCF of 23,33,707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10443356/1

Therefore the LCM of Fractions 28/23,827/33,451/707 is 10443356

Greatest Common Factor of 23,33,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,33,707 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 23,33,707 . The biggest common factor number is the GCF number.
So the greatest common factor 23,33,707 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/23, 827/33, 451/707

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 28/23, 827/33, 451/707?

Answer: LCM of Numerators as per given numbers 28/23, 827/33, 451/707 is

LCM of Numerators i.e. for 28,827,451 is 10443356

GCF of denominators i.e. for 23,33,707 is 1.

Thus, LCM of Fractions is 10443356.Finally, LCM of Fractions for 28/23, 827/33, 451/707 is 10443356.