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LCM of 304, 551, 821, 928

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


Find the LCM of 304, 551, 821, 928 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 304, 551, 821, 928. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,551,821,928

Given numbers are 304,551,821,928

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

The LCM of 304,551,821,928 is 14475872.

Find LCM of 304,551,821,928 with Prime Factorization


2 304, 551, 821, 928
2 152, 551, 821, 464
2 76, 551, 821, 232
2 38, 551, 821, 116
19 19, 551, 821, 58
29 1, 29, 821, 58
1, 1, 821, 2

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

2 x 2 x 2 x 2 x 19 x 29 x 1 x 1 x 821 x 2 = 14475872

Therefore, the lowest common multiple of 304,551,821,928 is 14475872.

LCM Formula to Find Lowest Common Multiple of 304,551,821,928

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.

304 x 551 x 821 x 928 = 127619287552

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

551 : 1, 19, 29, 551

821 : 1, 821

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,551,821,928, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

551:19x 29

821:821

928:2x 2x 2x 2x 2x 29

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 19x 29 = 8816

Therefore, the value for common factors is 8816.

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 = 127619287552/(1x8816)

LCM = 127619287552/8816

LCM = 14475872

Thus, we can understand that the LCM of 304,551,821,928 is 14475872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 551, 821, 928

1. What is the LCM of 304, 551, 821, 928?

Answer: LCM of 304, 551, 821, 928 is 14475872.

2. How to calculate the LCM of 304, 551, 821, 928?

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 304, 551, 821, 928.

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}.