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LCM of 588, 992, 806, 618

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


Find the LCM of 588, 992, 806, 618 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 588, 992, 806, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 588,992,806,618

Given numbers are 588,992,806,618

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

The LCM of 588,992,806,618 is 195258336.

Find LCM of 588,992,806,618 with Prime Factorization


2 588, 992, 806, 618
2 294, 496, 403, 309
3 147, 248, 403, 309
31 49, 248, 403, 103
49, 8, 13, 103

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

2 x 2 x 3 x 31 x 49 x 8 x 13 x 103 = 195258336

Therefore, the lowest common multiple of 588,992,806,618 is 195258336.

LCM Formula to Find Lowest Common Multiple of 588,992,806,618

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.

588 x 992 x 806 x 618 = 290544403968

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.

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

806 : 1, 2, 13, 26, 31, 62, 403, 806

618 : 1, 2, 3, 6, 103, 206, 309, 618

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,992,806,618, is 2.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

992:2x 2x 2x 2x 2x 31

806:2x 13x 31

618:2x 3x 103

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 2x 3x 31 = 744

Therefore, the value for common factors is 744.

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 = 290544403968/(2x744)

LCM = 290544403968/1488

LCM = 195258336

Thus, we can understand that the LCM of 588,992,806,618 is 195258336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 588, 992, 806, 618

1. What is the LCM of 588, 992, 806, 618?

Answer: LCM of 588, 992, 806, 618 is 195258336.

2. How to calculate the LCM of 588, 992, 806, 618?

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 588, 992, 806, 618.

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}.