Least Common Multiple of 558/42, 864/16, 816/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 558/42, 864/16, 816/44 quickly i.e. 227664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/42, 864/16, 816/44 is 227664.

LCM(558/42, 864/16, 816/44) = 227664

LCM of 558/42, 864/16, 816/44

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 558/42,864/16,816/44

Given numbers are 558/42,864/16,816/44

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 558,864,816

Least Common Multiple of Numerators i.e. LCM of 558,864,816 is 455328.

GCF of Denominators means GCF of 42,16,44 as per the given fractions.

GCF of 42,16,44 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,864,816

LCM of Fractions 558/42,864/16,816/44 is 227664

2 558, 864, 816
2 279, 432, 408
2 279, 216, 204
2 279, 108, 102
3 279, 54, 51
3 93, 18, 17
31, 6, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 31 x 6 x 17 = 455328

Least Common Multiple of 558,864,816 with GCF Formula

Least Common Multiple of 558,864,816 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 558,864,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,864,816) = 6

common factors(in case of two or more numbers have common factors) = 144

GCF(558,864,816) x common factors =6 x 144 = 864

LCM(558,864,816) = ( 558 × 864 × 816 ) / 864

LCM(558,864,816) = 393403392 / 864

LCM(558,864,816) = 455328


Lets's calculate GCF of 42,16,44

2 42, 16, 44
21, 8, 22

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455328/2

Therefore the LCM of Fractions 558/42,864/16,816/44 is 227664

Greatest Common Factor of 42,16,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,16,44 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 42,16,44 . The biggest common factor number is the GCF number.
So the greatest common factor 42,16,44 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 558/42, 864/16, 816/44

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 558/42, 864/16, 816/44?

Answer: LCM of Numerators as per given numbers 558/42, 864/16, 816/44 is

LCM of Numerators i.e. for 558,864,816 is 455328

GCF of denominators i.e. for 42,16,44 is 2.

Thus, LCM of Fractions is 227664.Finally, LCM of Fractions for 558/42, 864/16, 816/44 is 227664.