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LCM of 417, 854, 926, 356

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


Find the LCM of 417, 854, 926, 356 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 417, 854, 926, 356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 417,854,926,356

Given numbers are 417,854,926,356

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

The LCM of 417,854,926,356 is 29349108852.

Find LCM of 417,854,926,356 with Prime Factorization


2 417, 854, 926, 356
417, 427, 463, 178

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

2 x 417 x 427 x 463 x 178 = 29349108852

Therefore, the lowest common multiple of 417,854,926,356 is 29349108852.

LCM Formula to Find Lowest Common Multiple of 417,854,926,356

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.

417 x 854 x 926 x 356 = 117396435408

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.

417 : 1, 3, 139, 417

854 : 1, 2, 7, 14, 61, 122, 427, 854

926 : 1, 2, 463, 926

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,854,926,356, is 1.

Now, the common factors can be found like this.

417:3x 139

854:2x 7x 61

926:2x 463

356:2x 2x 89

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 117396435408/(1x4)

LCM = 117396435408/4

LCM = 29349108852

Thus, we can understand that the LCM of 417,854,926,356 is 29349108852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 417, 854, 926, 356

1. What is the LCM of 417, 854, 926, 356?

Answer: LCM of 417, 854, 926, 356 is 29349108852.

2. How to calculate the LCM of 417, 854, 926, 356?

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 417, 854, 926, 356.

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}.