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LCM of 8, 669, 574, 574

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


Find the LCM of 8, 669, 574, 574 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 8, 669, 574, 574. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8,669,574,574

Given numbers are 8,669,574,574

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

The LCM of 8,669,574,574 is 1536024.

Find LCM of 8,669,574,574 with Prime Factorization


2 8, 669, 574, 574
7 4, 669, 287, 287
41 4, 669, 41, 41
4, 669, 1, 1

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

2 x 7 x 41 x 4 x 669 x 1 x 1 = 1536024

Therefore, the lowest common multiple of 8,669,574,574 is 1536024.

LCM Formula to Find Lowest Common Multiple of 8,669,574,574

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.

8 x 669 x 574 x 574 = 1763355552

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.

8 : 1, 2, 4, 8

669 : 1, 3, 223, 669

574 : 1, 2, 7, 14, 41, 82, 287, 574

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8,669,574,574, is 1.

Now, the common factors can be found like this.

8:2x 2x 2

669:3x 223

574:2x 7x 41

574:2x 7x 41

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

2x 2x 7x 41 = 1148

Therefore, the value for common factors is 1148.

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 = 1763355552/(1x1148)

LCM = 1763355552/1148

LCM = 1536024

Thus, we can understand that the LCM of 8,669,574,574 is 1536024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 8, 669, 574, 574

1. What is the LCM of 8, 669, 574, 574?

Answer: LCM of 8, 669, 574, 574 is 1536024.

2. How to calculate the LCM of 8, 669, 574, 574?

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 8, 669, 574, 574.

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}.