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LCM of 687, 869, 603, 512, 823

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


Find the LCM of 687, 869, 603, 512, 823 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 687, 869, 603, 512, 823. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 687,869,603,512,823

Given numbers are 687,869,603,512,823

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

The LCM of 687,869,603,512,823 is 50564109961728.

Find LCM of 687,869,603,512,823 with Prime Factorization


3 687, 869, 603, 512, 823
229, 869, 201, 512, 823

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

3 x 229 x 869 x 201 x 512 x 823 = 50564109961728

Therefore, the lowest common multiple of 687,869,603,512,823 is 50564109961728.

LCM Formula to Find Lowest Common Multiple of 687,869,603,512,823

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.

687 x 869 x 603 x 512 x 823 = 151692329885184

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.

687 : 1, 3, 229, 687

869 : 1, 11, 79, 869

603 : 1, 3, 9, 67, 201, 603

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

823 : 1, 823

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,869,603,512,823, is 1.

Now, the common factors can be found like this.

687:3x 229

869:11x 79

603:3x 3x 67

512:2x 2x 2x 2x 2x 2x 2x 2x 2

823:823

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

3 = 3

Therefore, the value for common factors is 3.

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 = 151692329885184/(1x3)

LCM = 151692329885184/3

LCM = 50564109961728

Thus, we can understand that the LCM of 687,869,603,512,823 is 50564109961728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 687, 869, 603, 512, 823

1. What is the LCM of 687, 869, 603, 512, 823?

Answer: LCM of 687, 869, 603, 512, 823 is 50564109961728.

2. How to calculate the LCM of 687, 869, 603, 512, 823?

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 687, 869, 603, 512, 823.

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}.