Least Common Multiple of 816/648, 465/846, 457/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/648, 465/846, 457/572 quickly i.e. 28900680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/648, 465/846, 457/572 is 28900680.

LCM(816/648, 465/846, 457/572) = 28900680

LCM of 816/648, 465/846, 457/572

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 816/648,465/846,457/572

Given numbers are 816/648,465/846,457/572

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 816,465,457

Least Common Multiple of Numerators i.e. LCM of 816,465,457 is 57801360.

GCF of Denominators means GCF of 648,846,572 as per the given fractions.

GCF of 648,846,572 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,465,457

LCM of Fractions 816/648,465/846,457/572 is 28900680

3 816, 465, 457
272, 155, 457

∴ So the LCM of the given numbers is 3 x 272 x 155 x 457 = 57801360

Least Common Multiple of 816,465,457 with GCF Formula

Least Common Multiple of 816,465,457 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 816,465,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,465,457) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(816,465,457) x common factors =1 x 3 = 3

LCM(816,465,457) = ( 816 × 465 × 457 ) / 3

LCM(816,465,457) = 173404080 / 3

LCM(816,465,457) = 57801360


Lets's calculate GCF of 648,846,572

2 648, 846, 572
324, 423, 286

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57801360/2

Therefore the LCM of Fractions 816/648,465/846,457/572 is 28900680

Greatest Common Factor of 648,846,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,846,572 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 648,846,572 . The biggest common factor number is the GCF number.
So the greatest common factor 648,846,572 is 2.


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 816/648, 465/846, 457/572

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 816/648, 465/846, 457/572?

Answer: LCM of Numerators as per given numbers 816/648, 465/846, 457/572 is

LCM of Numerators i.e. for 816,465,457 is 57801360

GCF of denominators i.e. for 648,846,572 is 2.

Thus, LCM of Fractions is 28900680.Finally, LCM of Fractions for 816/648, 465/846, 457/572 is 28900680.