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LCM of 962, 496, 578, 397, 511

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


Find the LCM of 962, 496, 578, 397, 511 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 962, 496, 578, 397, 511. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,496,578,397,511

Given numbers are 962,496,578,397,511

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

The LCM of 962,496,578,397,511 is 13987368046288.

Find LCM of 962,496,578,397,511 with Prime Factorization


2 962, 496, 578, 397, 511
481, 248, 289, 397, 511

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

2 x 481 x 248 x 289 x 397 x 511 = 13987368046288

Therefore, the lowest common multiple of 962,496,578,397,511 is 13987368046288.

LCM Formula to Find Lowest Common Multiple of 962,496,578,397,511

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.

962 x 496 x 578 x 397 x 511 = 55949472185152

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.

962 : 1, 2, 13, 26, 37, 74, 481, 962

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

578 : 1, 2, 17, 34, 289, 578

397 : 1, 397

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,496,578,397,511, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

496:2x 2x 2x 2x 31

578:2x 17x 17

397:397

511:7x 73

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 55949472185152/(1x4)

LCM = 55949472185152/4

LCM = 13987368046288

Thus, we can understand that the LCM of 962,496,578,397,511 is 13987368046288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 962, 496, 578, 397, 511

1. What is the LCM of 962, 496, 578, 397, 511?

Answer: LCM of 962, 496, 578, 397, 511 is 13987368046288.

2. How to calculate the LCM of 962, 496, 578, 397, 511?

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 962, 496, 578, 397, 511.

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}.