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LCM of 106, 817, 418, 373

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


Find the LCM of 106, 817, 418, 373 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, 817, 418, 373. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 106,817,418,373

Given numbers are 106,817,418,373

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

The LCM of 106,817,418,373 is 355328006.

Find LCM of 106,817,418,373 with Prime Factorization


2 106, 817, 418, 373
19 53, 817, 209, 373
53, 43, 11, 373

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

2 x 19 x 53 x 43 x 11 x 373 = 355328006

Therefore, the lowest common multiple of 106,817,418,373 is 355328006.

LCM Formula to Find Lowest Common Multiple of 106,817,418,373

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 817 x 418 x 373 = 13502464228

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

817 : 1, 19, 43, 817

418 : 1, 2, 11, 19, 22, 38, 209, 418

373 : 1, 373

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,817,418,373, is 1.

Now, the common factors can be found like this.

106:2x 53

817:19x 43

418:2x 11x 19

373:373

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 13502464228/(1x38)

LCM = 13502464228/38

LCM = 355328006

Thus, we can understand that the LCM of 106,817,418,373 is 355328006.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 106, 817, 418, 373

1. What is the LCM of 106, 817, 418, 373?

Answer: LCM of 106, 817, 418, 373 is 355328006.

2. How to calculate the LCM of 106, 817, 418, 373?

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, 817, 418, 373.

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}.