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LCM of 956, 132, 204, 459, 414

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


Find the LCM of 956, 132, 204, 459, 414 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 956, 132, 204, 459, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 956,132,204,459,414

Given numbers are 956,132,204,459,414

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

The LCM of 956,132,204,459,414 is 111017412.

Find LCM of 956,132,204,459,414 with Prime Factorization


2 956, 132, 204, 459, 414
2 478, 66, 102, 459, 207
3 239, 33, 51, 459, 207
3 239, 11, 17, 153, 69
17 239, 11, 17, 51, 23
239, 11, 1, 3, 23

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

2 x 2 x 3 x 3 x 17 x 239 x 11 x 1 x 3 x 23 = 111017412

Therefore, the lowest common multiple of 956,132,204,459,414 is 111017412.

LCM Formula to Find Lowest Common Multiple of 956,132,204,459,414

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.

956 x 132 x 204 x 459 x 414 = 4891871242368

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.

956 : 1, 2, 4, 239, 478, 956

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,132,204,459,414, is 1.

Now, the common factors can be found like this.

956:2x 2x 239

132:2x 2x 3x 11

204:2x 2x 3x 17

459:3x 3x 3x 17

414:2x 3x 3x 23

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 2x 2x 2x 3x 3x 3x 3x 17 = 44064

Therefore, the value for common factors is 44064.

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 = 4891871242368/(1x44064)

LCM = 4891871242368/44064

LCM = 111017412

Thus, we can understand that the LCM of 956,132,204,459,414 is 111017412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 956, 132, 204, 459, 414

1. What is the LCM of 956, 132, 204, 459, 414?

Answer: LCM of 956, 132, 204, 459, 414 is 111017412.

2. How to calculate the LCM of 956, 132, 204, 459, 414?

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 956, 132, 204, 459, 414.

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}.