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LCM of 928, 551, 889

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


Find the LCM of 928, 551, 889 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 928, 551, 889. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 928,551,889

Given numbers are 928,551,889

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

The LCM of 928,551,889 is 15674848.

Find LCM of 928,551,889 with Prime Factorization


29 928, 551, 889
32, 19, 889

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

29 x 32 x 19 x 889 = 15674848

Therefore, the lowest common multiple of 928,551,889 is 15674848.

LCM Formula to Find Lowest Common Multiple of 928,551,889

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.

928 x 551 x 889 = 454570592

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.

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

551 : 1, 19, 29, 551

889 : 1, 7, 127, 889

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,551,889, is 1.

Now, the common factors can be found like this.

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

551:19x 29

889:7x 127

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

29 = 29

Therefore, the value for common factors is 29.

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 = 454570592/(1x29)

LCM = 454570592/29

LCM = 15674848

Thus, we can understand that the LCM of 928,551,889 is 15674848.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 928, 551, 889

1. What is the LCM of 928, 551, 889?

Answer: LCM of 928, 551, 889 is 15674848.

2. How to calculate the LCM of 928, 551, 889?

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 928, 551, 889.

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}.