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LCM of 852, 628, 218, 698

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


Find the LCM of 852, 628, 218, 698 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 852, 628, 218, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 852,628,218,698

Given numbers are 852,628,218,698

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

The LCM of 852,628,218,698 is 5088516324.

Find LCM of 852,628,218,698 with Prime Factorization


2 852, 628, 218, 698
2 426, 314, 109, 349
213, 157, 109, 349

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

2 x 2 x 213 x 157 x 109 x 349 = 5088516324

Therefore, the lowest common multiple of 852,628,218,698 is 5088516324.

LCM Formula to Find Lowest Common Multiple of 852,628,218,698

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.

852 x 628 x 218 x 698 = 81416261184

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

628 : 1, 2, 4, 157, 314, 628

218 : 1, 2, 109, 218

698 : 1, 2, 349, 698

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,628,218,698, is 2.

Now, the common factors can be found like this.

852:2x 2x 3x 71

628:2x 2x 157

218:2x 109

698:2x 349

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 2 = 8

Therefore, the value for common factors is 8.

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 = 81416261184/(2x8)

LCM = 81416261184/16

LCM = 5088516324

Thus, we can understand that the LCM of 852,628,218,698 is 5088516324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 852, 628, 218, 698

1. What is the LCM of 852, 628, 218, 698?

Answer: LCM of 852, 628, 218, 698 is 5088516324.

2. How to calculate the LCM of 852, 628, 218, 698?

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 852, 628, 218, 698.

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}.