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LCM of 440, 344, 906, 816

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 440, 344, 906, 816 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 440, 344, 906, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 440,344,906,816

Given numbers are 440,344,906,816

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 440,344,906,816 is 291405840.

Find LCM of 440,344,906,816 with Prime Factorization


2 440, 344, 906, 816
2 220, 172, 453, 408
2 110, 86, 453, 204
3 55, 43, 453, 102
55, 43, 151, 34

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 55 x 43 x 151 x 34 = 291405840

Therefore, the lowest common multiple of 440,344,906,816 is 291405840.

LCM Formula to Find Lowest Common Multiple of 440,344,906,816

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

440 x 344 x 906 x 816 = 111899842560

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

344 : 1, 2, 4, 8, 43, 86, 172, 344

906 : 1, 2, 3, 6, 151, 302, 453, 906

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,344,906,816, is 2.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

344:2x 2x 2x 43

906:2x 3x 151

816:2x 2x 2x 2x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 111899842560/(2x192)

LCM = 111899842560/384

LCM = 291405840

Thus, we can understand that the LCM of 440,344,906,816 is 291405840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 440, 344, 906, 816

1. What is the LCM of 440, 344, 906, 816?

Answer: LCM of 440, 344, 906, 816 is 291405840.

2. How to calculate the LCM of 440, 344, 906, 816?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 440, 344, 906, 816.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.