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LCM of 912, 709, 507, 468

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


Find the LCM of 912, 709, 507, 468 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 912, 709, 507, 468. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,709,507,468

Given numbers are 912,709,507,468

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

The LCM of 912,709,507,468 is 327830256.

Find LCM of 912,709,507,468 with Prime Factorization


2 912, 709, 507, 468
2 456, 709, 507, 234
3 228, 709, 507, 117
13 76, 709, 169, 39
76, 709, 13, 3

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

2 x 2 x 3 x 13 x 76 x 709 x 13 x 3 = 327830256

Therefore, the lowest common multiple of 912,709,507,468 is 327830256.

LCM Formula to Find Lowest Common Multiple of 912,709,507,468

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.

912 x 709 x 507 x 468 = 153424559808

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

709 : 1, 709

507 : 1, 3, 13, 39, 169, 507

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,709,507,468, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

709:709

507:3x 13x 13

468:2x 2x 3x 3x 13

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 153424559808/(1x468)

LCM = 153424559808/468

LCM = 327830256

Thus, we can understand that the LCM of 912,709,507,468 is 327830256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 709, 507, 468

1. What is the LCM of 912, 709, 507, 468?

Answer: LCM of 912, 709, 507, 468 is 327830256.

2. How to calculate the LCM of 912, 709, 507, 468?

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 912, 709, 507, 468.

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}.