Given numbers are 614,343,451,696,160

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

The LCM of 614,343,451,696,160 is 661071253920.

Find LCM of 614,343,451,696,160 with Prime Factorization

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

2 x 2 x 2 x 307 x 343 x 451 x 87 x 20 = 661071253920

Therefore, the lowest common multiple of 614,343,451,696,160 is 661071253920.

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 343 x 451 x 696 x 160 = 10577140062720

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

343 : 1, 7, 49, 343

451 : 1, 11, 41, 451

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,343,451,696,160, is 1.

Now, the common factors can be found like this.

614:2x 307

343:7x 7x 7

451:11x 41

696:2x 2x 2x 3x 29

160:2x 2x 2x 2x 2x 5

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 2 = 16

Therefore, the value for common factors is 16.

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 = 10577140062720/(1x16)

LCM = 10577140062720/16

LCM = 661071253920

Thus, we can understand that the LCM of 614,343,451,696,160 is 661071253920.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 171, 104, 251, 373, 471
• LCM of 247, 140, 868, 101, 260
• LCM of 690, 362, 831, 778, 446
• LCM of 240, 200, 395, 310, 157
• LCM of 109, 164, 529, 363, 494

1. What is the LCM of 614, 343, 451, 696, 160?

Answer: LCM of 614, 343, 451, 696, 160 is 661071253920.

2. How to calculate the LCM of 614, 343, 451, 696, 160?

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, 343, 451, 696, 160.

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}.