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LCM of 627, 612, 585, 864, 574

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


Find the LCM of 627, 612, 585, 864, 574 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, 612, 585, 864, 574. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,612,585,864,574

Given numbers are 627,612,585,864,574

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

The LCM of 627,612,585,864,574 is 57266969760.

Find LCM of 627,612,585,864,574 with Prime Factorization


2 627, 612, 585, 864, 574
2 627, 306, 585, 432, 287
3 627, 153, 585, 216, 287
3 209, 51, 195, 72, 287
209, 17, 65, 24, 287

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

2 x 2 x 3 x 3 x 209 x 17 x 65 x 24 x 287 = 57266969760

Therefore, the lowest common multiple of 627,612,585,864,574 is 57266969760.

LCM Formula to Find Lowest Common Multiple of 627,612,585,864,574

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 612 x 585 x 864 x 574 = 111326989213440

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,612,585,864,574, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

612:2x 2x 3x 3x 17

585:3x 3x 5x 13

864:2x 2x 2x 2x 2x 3x 3x 3

574:2x 7x 41

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 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 111326989213440/(1x1944)

LCM = 111326989213440/1944

LCM = 57266969760

Thus, we can understand that the LCM of 627,612,585,864,574 is 57266969760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 612, 585, 864, 574

1. What is the LCM of 627, 612, 585, 864, 574?

Answer: LCM of 627, 612, 585, 864, 574 is 57266969760.

2. How to calculate the LCM of 627, 612, 585, 864, 574?

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, 612, 585, 864, 574.

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}.