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LCM of 654, 330, 612, 900

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


Find the LCM of 654, 330, 612, 900 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 654, 330, 612, 900. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,330,612,900

Given numbers are 654,330,612,900

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

The LCM of 654,330,612,900 is 18344700.

Find LCM of 654,330,612,900 with Prime Factorization


2 654, 330, 612, 900
2 327, 165, 306, 450
3 327, 165, 153, 225
3 109, 55, 51, 75
5 109, 55, 17, 25
109, 11, 17, 5

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

2 x 2 x 3 x 3 x 5 x 109 x 11 x 17 x 5 = 18344700

Therefore, the lowest common multiple of 654,330,612,900 is 18344700.

LCM Formula to Find Lowest Common Multiple of 654,330,612,900

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.

654 x 330 x 612 x 900 = 118873656000

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,330,612,900, is 6.

Now, the common factors can be found like this.

654:2x 3x 109

330:2x 3x 5x 11

612:2x 2x 3x 3x 17

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

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 5 = 1080

Therefore, the value for common factors is 1080.

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 = 118873656000/(6x1080)

LCM = 118873656000/6480

LCM = 18344700

Thus, we can understand that the LCM of 654,330,612,900 is 18344700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 330, 612, 900

1. What is the LCM of 654, 330, 612, 900?

Answer: LCM of 654, 330, 612, 900 is 18344700.

2. How to calculate the LCM of 654, 330, 612, 900?

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 654, 330, 612, 900.

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}.