Given numbers are 751,788,470,504,614

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

The LCM of 751,788,470,504,614 is 5379512702760.

Find LCM of 751,788,470,504,614 with Prime Factorization

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

2 x 2 x 751 x 197 x 235 x 126 x 307 = 5379512702760

Therefore, the lowest common multiple of 751,788,470,504,614 is 5379512702760.

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.

751 x 788 x 470 x 504 x 614 = 86072203244160

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.

751 : 1, 751

788 : 1, 2, 4, 197, 394, 788

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,788,470,504,614, is 1.

Now, the common factors can be found like this.

751:751

788:2x 2x 197

470:2x 5x 47

504:2x 2x 2x 3x 3x 7

614:2x 307

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 = 86072203244160/(1x16)

LCM = 86072203244160/16

LCM = 5379512702760

Thus, we can understand that the LCM of 751,788,470,504,614 is 5379512702760.

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

• LCM of 131, 357, 387, 644, 569
• LCM of 132, 968, 828, 735, 912
• LCM of 515, 358, 598, 893, 529
• LCM of 558, 238, 836, 503, 641
• LCM of 342, 962, 203, 683, 191

1. What is the LCM of 751, 788, 470, 504, 614?

Answer: LCM of 751, 788, 470, 504, 614 is 5379512702760.

2. How to calculate the LCM of 751, 788, 470, 504, 614?

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 751, 788, 470, 504, 614.

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}.