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LCM of 992, 592, 618, 496

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


Find the LCM of 992, 592, 618, 496 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 992, 592, 618, 496. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 992,592,618,496

Given numbers are 992,592,618,496

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

The LCM of 992,592,618,496 is 11341536.

Find LCM of 992,592,618,496 with Prime Factorization


2 992, 592, 618, 496
2 496, 296, 309, 248
2 124, 148, 309, 248
2 62, 74, 309, 124
31 31, 37, 309, 62
1, 37, 309, 2

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

2 x 2 x 2 x 2 x 31 x 1 x 37 x 309 x 2 = 11341536

Therefore, the lowest common multiple of 992,592,618,496 is 11341536.

LCM Formula to Find Lowest Common Multiple of 992,592,618,496

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.

992 x 592 x 618 x 496 = 180012859392

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.

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

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,592,618,496, is 2.

Now, the common factors can be found like this.

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

592:2x 2x 2x 2x 37

618:2x 3x 103

496:2x 2x 2x 2x 31

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 2x 2x 2x 2x 2x 31 = 7936

Therefore, the value for common factors is 7936.

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 = 180012859392/(2x7936)

LCM = 180012859392/15872

LCM = 11341536

Thus, we can understand that the LCM of 992,592,618,496 is 11341536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 992, 592, 618, 496

1. What is the LCM of 992, 592, 618, 496?

Answer: LCM of 992, 592, 618, 496 is 11341536.

2. How to calculate the LCM of 992, 592, 618, 496?

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 992, 592, 618, 496.

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}.