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LCM of 110, 912, 293, 537, 819

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


Find the LCM of 110, 912, 293, 537, 819 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 110, 912, 293, 537, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 110,912,293,537,819

Given numbers are 110,912,293,537,819

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

The LCM of 110,912,293,537,819 is 718192434960.

Find LCM of 110,912,293,537,819 with Prime Factorization


2 110, 912, 293, 537, 819
3 55, 456, 293, 537, 819
55, 152, 293, 179, 273

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

2 x 3 x 55 x 152 x 293 x 179 x 273 = 718192434960

Therefore, the lowest common multiple of 110,912,293,537,819 is 718192434960.

LCM Formula to Find Lowest Common Multiple of 110,912,293,537,819

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.

110 x 912 x 293 x 537 x 819 = 12927463829280

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

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

293 : 1, 293

537 : 1, 3, 179, 537

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,912,293,537,819, is 1.

Now, the common factors can be found like this.

110:2x 5x 11

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

293:293

537:3x 179

819:3x 3x 7x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 12927463829280/(1x18)

LCM = 12927463829280/18

LCM = 718192434960

Thus, we can understand that the LCM of 110,912,293,537,819 is 718192434960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 110, 912, 293, 537, 819

1. What is the LCM of 110, 912, 293, 537, 819?

Answer: LCM of 110, 912, 293, 537, 819 is 718192434960.

2. How to calculate the LCM of 110, 912, 293, 537, 819?

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 110, 912, 293, 537, 819.

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}.