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LCM of 468, 900, 627, 584

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


Find the LCM of 468, 900, 627, 584 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 468, 900, 627, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,900,627,584

Given numbers are 468,900,627,584

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

The LCM of 468,900,627,584 is 357013800.

Find LCM of 468,900,627,584 with Prime Factorization


2 468, 900, 627, 584
2 234, 450, 627, 292
3 117, 225, 627, 146
3 39, 75, 209, 146
13, 25, 209, 146

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

2 x 2 x 3 x 3 x 13 x 25 x 209 x 146 = 357013800

Therefore, the lowest common multiple of 468,900,627,584 is 357013800.

LCM Formula to Find Lowest Common Multiple of 468,900,627,584

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.

468 x 900 x 627 x 584 = 154229961600

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,900,627,584, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

900:2x 2x 3x 3x 5x 5

627:3x 11x 19

584:2x 2x 2x 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 2x 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 154229961600/(1x432)

LCM = 154229961600/432

LCM = 357013800

Thus, we can understand that the LCM of 468,900,627,584 is 357013800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 900, 627, 584

1. What is the LCM of 468, 900, 627, 584?

Answer: LCM of 468, 900, 627, 584 is 357013800.

2. How to calculate the LCM of 468, 900, 627, 584?

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 468, 900, 627, 584.

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}.