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LCM of 817, 414, 234, 364

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


Find the LCM of 817, 414, 234, 364 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 817, 414, 234, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,414,234,364

Given numbers are 817,414,234,364

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

The LCM of 817,414,234,364 is 61559316.

Find LCM of 817,414,234,364 with Prime Factorization


2 817, 414, 234, 364
3 817, 207, 117, 182
3 817, 69, 39, 182
13 817, 23, 13, 182
817, 23, 1, 14

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

2 x 3 x 3 x 13 x 817 x 23 x 1 x 14 = 61559316

Therefore, the lowest common multiple of 817,414,234,364 is 61559316.

LCM Formula to Find Lowest Common Multiple of 817,414,234,364

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.

817 x 414 x 234 x 364 = 28809759888

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.

817 : 1, 19, 43, 817

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,414,234,364, is 1.

Now, the common factors can be found like this.

817:19x 43

414:2x 3x 3x 23

234:2x 3x 3x 13

364:2x 2x 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 2x 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 28809759888/(1x468)

LCM = 28809759888/468

LCM = 61559316

Thus, we can understand that the LCM of 817,414,234,364 is 61559316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 414, 234, 364

1. What is the LCM of 817, 414, 234, 364?

Answer: LCM of 817, 414, 234, 364 is 61559316.

2. How to calculate the LCM of 817, 414, 234, 364?

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 817, 414, 234, 364.

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}.