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LCM of 614, 432, 708, 517, 429

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


Find the LCM of 614, 432, 708, 517, 429 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 614, 432, 708, 517, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 614,432,708,517,429

Given numbers are 614,432,708,517,429

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

The LCM of 614,432,708,517,429 is 52590588336.

Find LCM of 614,432,708,517,429 with Prime Factorization


2 614, 432, 708, 517, 429
2 307, 216, 354, 517, 429
3 307, 108, 177, 517, 429
11 307, 36, 59, 517, 143
307, 36, 59, 47, 13

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

2 x 2 x 3 x 11 x 307 x 36 x 59 x 47 x 13 = 52590588336

Therefore, the lowest common multiple of 614,432,708,517,429 is 52590588336.

LCM Formula to Find Lowest Common Multiple of 614,432,708,517,429

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.

614 x 432 x 708 x 517 x 429 = 41651745962112

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.

614 : 1, 2, 307, 614

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

517 : 1, 11, 47, 517

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,432,708,517,429, is 1.

Now, the common factors can be found like this.

614:2x 307

432:2x 2x 2x 2x 3x 3x 3

708:2x 2x 3x 59

517:11x 47

429:3x 11x 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 2x 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 41651745962112/(1x792)

LCM = 41651745962112/792

LCM = 52590588336

Thus, we can understand that the LCM of 614,432,708,517,429 is 52590588336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 614, 432, 708, 517, 429

1. What is the LCM of 614, 432, 708, 517, 429?

Answer: LCM of 614, 432, 708, 517, 429 is 52590588336.

2. How to calculate the LCM of 614, 432, 708, 517, 429?

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 614, 432, 708, 517, 429.

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}.