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LCM of 614, 722, 708, 470, 423

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


Find the LCM of 614, 722, 708, 470, 423 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, 722, 708, 470, 423. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 614,722,708,470,423

Given numbers are 614,722,708,470,423

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

The LCM of 614,722,708,470,423 is 55318188780.

Find LCM of 614,722,708,470,423 with Prime Factorization


2 614, 722, 708, 470, 423
3 307, 361, 354, 235, 423
47 307, 361, 118, 235, 141
307, 361, 118, 5, 3

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

2 x 3 x 47 x 307 x 361 x 118 x 5 x 3 = 55318188780

Therefore, the lowest common multiple of 614,722,708,470,423 is 55318188780.

LCM Formula to Find Lowest Common Multiple of 614,722,708,470,423

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 722 x 708 x 470 x 423 = 62398916943840

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

722 : 1, 2, 19, 38, 361, 722

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,722,708,470,423, is 1.

Now, the common factors can be found like this.

614:2x 307

722:2x 19x 19

708:2x 2x 3x 59

470:2x 5x 47

423:3x 3x 47

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 47 = 1128

Therefore, the value for common factors is 1128.

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 = 62398916943840/(1x1128)

LCM = 62398916943840/1128

LCM = 55318188780

Thus, we can understand that the LCM of 614,722,708,470,423 is 55318188780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 614, 722, 708, 470, 423

1. What is the LCM of 614, 722, 708, 470, 423?

Answer: LCM of 614, 722, 708, 470, 423 is 55318188780.

2. How to calculate the LCM of 614, 722, 708, 470, 423?

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, 722, 708, 470, 423.

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}.