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LCM of 862, 869, 528

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


Find the LCM of 862, 869, 528 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, 869, 528. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,869,528

Given numbers are 862,869,528

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

The LCM of 862,869,528 is 17977872.

Find LCM of 862,869,528 with Prime Factorization


2 862, 869, 528
11 431, 869, 264
431, 79, 24

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

2 x 11 x 431 x 79 x 24 = 17977872

Therefore, the lowest common multiple of 862,869,528 is 17977872.

LCM Formula to Find Lowest Common Multiple of 862,869,528

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 869 x 528 = 395513184

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

869 : 1, 11, 79, 869

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,869,528, is 1.

Now, the common factors can be found like this.

862:2x 431

869:11x 79

528:2x 2x 2x 2x 3x 11

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 395513184/(1x22)

LCM = 395513184/22

LCM = 17977872

Thus, we can understand that the LCM of 862,869,528 is 17977872.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 862, 869, 528

1. What is the LCM of 862, 869, 528?

Answer: LCM of 862, 869, 528 is 17977872.

2. How to calculate the LCM of 862, 869, 528?

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, 869, 528.

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}.