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LCM of 558, 877, 784, 793, 551

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


Find the LCM of 558, 877, 784, 793, 551 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 558, 877, 784, 793, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 558,877,784,793,551

Given numbers are 558,877,784,793,551

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

The LCM of 558,877,784,793,551 is 83819418870096.

Find LCM of 558,877,784,793,551 with Prime Factorization


2 558, 877, 784, 793, 551
279, 877, 392, 793, 551

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

2 x 279 x 877 x 392 x 793 x 551 = 83819418870096

Therefore, the lowest common multiple of 558,877,784,793,551 is 83819418870096.

LCM Formula to Find Lowest Common Multiple of 558,877,784,793,551

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.

558 x 877 x 784 x 793 x 551 = 167638837740192

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.

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

877 : 1, 877

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

793 : 1, 13, 61, 793

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,877,784,793,551, is 1.

Now, the common factors can be found like this.

558:2x 3x 3x 31

877:877

784:2x 2x 2x 2x 7x 7

793:13x 61

551:19x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 167638837740192/(1x2)

LCM = 167638837740192/2

LCM = 83819418870096

Thus, we can understand that the LCM of 558,877,784,793,551 is 83819418870096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 558, 877, 784, 793, 551

1. What is the LCM of 558, 877, 784, 793, 551?

Answer: LCM of 558, 877, 784, 793, 551 is 83819418870096.

2. How to calculate the LCM of 558, 877, 784, 793, 551?

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 558, 877, 784, 793, 551.

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}.