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LCM of 396, 278, 717, 612

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


Find the LCM of 396, 278, 717, 612 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 396, 278, 717, 612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 396,278,717,612

Given numbers are 396,278,717,612

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

The LCM of 396,278,717,612 is 223643772.

Find LCM of 396,278,717,612 with Prime Factorization


2 396, 278, 717, 612
2 198, 139, 717, 306
3 99, 139, 717, 153
3 33, 139, 239, 51
11, 139, 239, 17

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

2 x 2 x 3 x 3 x 11 x 139 x 239 x 17 = 223643772

Therefore, the lowest common multiple of 396,278,717,612 is 223643772.

LCM Formula to Find Lowest Common Multiple of 396,278,717,612

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.

396 x 278 x 717 x 612 = 48307054752

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

278 : 1, 2, 139, 278

717 : 1, 3, 239, 717

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,278,717,612, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

278:2x 139

717:3x 239

612:2x 2x 3x 3x 17

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 3 = 216

Therefore, the value for common factors is 216.

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 = 48307054752/(1x216)

LCM = 48307054752/216

LCM = 223643772

Thus, we can understand that the LCM of 396,278,717,612 is 223643772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 396, 278, 717, 612

1. What is the LCM of 396, 278, 717, 612?

Answer: LCM of 396, 278, 717, 612 is 223643772.

2. How to calculate the LCM of 396, 278, 717, 612?

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 396, 278, 717, 612.

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}.