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LCM of 627, 576, 759, 462

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


Find the LCM of 627, 576, 759, 462 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 627, 576, 759, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,576,759,462

Given numbers are 627,576,759,462

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

The LCM of 627,576,759,462 is 19381824.

Find LCM of 627,576,759,462 with Prime Factorization


2 627, 576, 759, 462
3 627, 288, 759, 231
11 209, 96, 253, 77
19, 96, 23, 7

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

2 x 3 x 11 x 19 x 96 x 23 x 7 = 19381824

Therefore, the lowest common multiple of 627,576,759,462 is 19381824.

LCM Formula to Find Lowest Common Multiple of 627,576,759,462

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.

627 x 576 x 759 x 462 = 126640838016

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.

627 : 1, 3, 11, 19, 33, 57, 209, 627

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

759 : 1, 3, 11, 23, 33, 69, 253, 759

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,576,759,462, is 3.

Now, the common factors can be found like this.

627:3x 11x 19

576:2x 2x 2x 2x 2x 2x 3x 3

759:3x 11x 23

462:2x 3x 7x 11

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

2x 3x 3x 11x 11 = 2178

Therefore, the value for common factors is 2178.

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 = 126640838016/(3x2178)

LCM = 126640838016/6534

LCM = 19381824

Thus, we can understand that the LCM of 627,576,759,462 is 19381824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 576, 759, 462

1. What is the LCM of 627, 576, 759, 462?

Answer: LCM of 627, 576, 759, 462 is 19381824.

2. How to calculate the LCM of 627, 576, 759, 462?

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 627, 576, 759, 462.

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}.