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LCM of 862, 369, 551, 872

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


Find the LCM of 862, 369, 551, 872 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 862, 369, 551, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,369,551,872

Given numbers are 862,369,551,872

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

The LCM of 862,369,551,872 is 76413786408.

Find LCM of 862,369,551,872 with Prime Factorization


2 862, 369, 551, 872
431, 369, 551, 436

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

2 x 431 x 369 x 551 x 436 = 76413786408

Therefore, the lowest common multiple of 862,369,551,872 is 76413786408.

LCM Formula to Find Lowest Common Multiple of 862,369,551,872

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.

862 x 369 x 551 x 872 = 152827572816

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.

862 : 1, 2, 431, 862

369 : 1, 3, 9, 41, 123, 369

551 : 1, 19, 29, 551

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,369,551,872, is 1.

Now, the common factors can be found like this.

862:2x 431

369:3x 3x 41

551:19x 29

872:2x 2x 2x 109

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 = 152827572816/(1x2)

LCM = 152827572816/2

LCM = 76413786408

Thus, we can understand that the LCM of 862,369,551,872 is 76413786408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 369, 551, 872

1. What is the LCM of 862, 369, 551, 872?

Answer: LCM of 862, 369, 551, 872 is 76413786408.

2. How to calculate the LCM of 862, 369, 551, 872?

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 862, 369, 551, 872.

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}.