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LCM of 106, 272, 958, 598, 612

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


Find the LCM of 106, 272, 958, 598, 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 106, 272, 958, 598, 612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 106,272,958,598,612

Given numbers are 106,272,958,598,612

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

The LCM of 106,272,958,598,612 is 18582065424.

Find LCM of 106,272,958,598,612 with Prime Factorization


2 106, 272, 958, 598, 612
2 53, 136, 479, 299, 306
17 53, 68, 479, 299, 153
53, 4, 479, 299, 9

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

2 x 2 x 17 x 53 x 4 x 479 x 299 x 9 = 18582065424

Therefore, the lowest common multiple of 106,272,958,598,612 is 18582065424.

LCM Formula to Find Lowest Common Multiple of 106,272,958,598,612

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.

106 x 272 x 958 x 598 x 612 = 10108643590656

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.

106 : 1, 2, 53, 106

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

958 : 1, 2, 479, 958

598 : 1, 2, 13, 23, 26, 46, 299, 598

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,272,958,598,612, is 2.

Now, the common factors can be found like this.

106:2x 53

272:2x 2x 2x 2x 17

958:2x 479

598:2x 13x 23

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 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 10108643590656/(2x272)

LCM = 10108643590656/544

LCM = 18582065424

Thus, we can understand that the LCM of 106,272,958,598,612 is 18582065424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 106, 272, 958, 598, 612

1. What is the LCM of 106, 272, 958, 598, 612?

Answer: LCM of 106, 272, 958, 598, 612 is 18582065424.

2. How to calculate the LCM of 106, 272, 958, 598, 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 106, 272, 958, 598, 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}.