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LCM of 612, 390, 551, 444, 636

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


Find the LCM of 612, 390, 551, 444, 636 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 612, 390, 551, 444, 636. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,390,551,444,636

Given numbers are 612,390,551,444,636

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

The LCM of 612,390,551,444,636 is 42982727580.

Find LCM of 612,390,551,444,636 with Prime Factorization


2 612, 390, 551, 444, 636
2 306, 195, 551, 222, 318
3 153, 195, 551, 111, 159
51, 65, 551, 37, 53

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

2 x 2 x 3 x 51 x 65 x 551 x 37 x 53 = 42982727580

Therefore, the lowest common multiple of 612,390,551,444,636 is 42982727580.

LCM Formula to Find Lowest Common Multiple of 612,390,551,444,636

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.

612 x 390 x 551 x 444 x 636 = 37137076629120

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.

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

551 : 1, 19, 29, 551

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,390,551,444,636, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

390:2x 3x 5x 13

551:19x 29

444:2x 2x 3x 37

636:2x 2x 3x 53

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 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 37137076629120/(1x864)

LCM = 37137076629120/864

LCM = 42982727580

Thus, we can understand that the LCM of 612,390,551,444,636 is 42982727580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 390, 551, 444, 636

1. What is the LCM of 612, 390, 551, 444, 636?

Answer: LCM of 612, 390, 551, 444, 636 is 42982727580.

2. How to calculate the LCM of 612, 390, 551, 444, 636?

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 612, 390, 551, 444, 636.

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}.