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LCM of 459, 385, 414, 693, 795

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


Find the LCM of 459, 385, 414, 693, 795 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 459, 385, 414, 693, 795. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 459,385,414,693,795

Given numbers are 459,385,414,693,795

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

The LCM of 459,385,414,693,795 is 430831170.

Find LCM of 459,385,414,693,795 with Prime Factorization


3 459, 385, 414, 693, 795
3 153, 385, 138, 231, 265
5 51, 385, 46, 77, 265
7 51, 77, 46, 77, 53
11 51, 11, 46, 11, 53
51, 1, 46, 1, 53

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

3 x 3 x 5 x 7 x 11 x 51 x 1 x 46 x 1 x 53 = 430831170

Therefore, the lowest common multiple of 459,385,414,693,795 is 430831170.

LCM Formula to Find Lowest Common Multiple of 459,385,414,693,795

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.

459 x 385 x 414 x 693 x 795 = 40306410109350

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

385 : 1, 5, 7, 11, 35, 55, 77, 385

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

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

795 : 1, 3, 5, 15, 53, 159, 265, 795

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,385,414,693,795, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

385:5x 7x 11

414:2x 3x 3x 23

693:3x 3x 7x 11

795:3x 5x 53

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

3x 3x 3x 3x 3x 5x 7x 11 = 93555

Therefore, the value for common factors is 93555.

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 = 40306410109350/(1x93555)

LCM = 40306410109350/93555

LCM = 430831170

Thus, we can understand that the LCM of 459,385,414,693,795 is 430831170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 459, 385, 414, 693, 795

1. What is the LCM of 459, 385, 414, 693, 795?

Answer: LCM of 459, 385, 414, 693, 795 is 430831170.

2. How to calculate the LCM of 459, 385, 414, 693, 795?

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 459, 385, 414, 693, 795.

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}.