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LCM of 616, 313, 524, 511

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


Find the LCM of 616, 313, 524, 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 616, 313, 524, 511. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,313,524,511

Given numbers are 616,313,524,511

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

The LCM of 616,313,524,511 is 1843822904.

Find LCM of 616,313,524,511 with Prime Factorization


2 616, 313, 524, 511
2 308, 313, 262, 511
7 154, 313, 131, 511
22, 313, 131, 73

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

2 x 2 x 7 x 22 x 313 x 131 x 73 = 1843822904

Therefore, the lowest common multiple of 616,313,524,511 is 1843822904.

LCM Formula to Find Lowest Common Multiple of 616,313,524,511

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.

616 x 313 x 524 x 511 = 51627041312

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

313 : 1, 313

524 : 1, 2, 4, 131, 262, 524

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,313,524,511, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

313:313

524:2x 2x 131

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 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 51627041312/(1x28)

LCM = 51627041312/28

LCM = 1843822904

Thus, we can understand that the LCM of 616,313,524,511 is 1843822904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 313, 524, 511

1. What is the LCM of 616, 313, 524, 511?

Answer: LCM of 616, 313, 524, 511 is 1843822904.

2. How to calculate the LCM of 616, 313, 524, 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 616, 313, 524, 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}.