Given numbers are 714,756,614,470

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

The LCM of 714,756,614,470 is 927207540.

Find LCM of 714,756,614,470 with Prime Factorization

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

2 x 3 x 7 x 17 x 18 x 307 x 235 = 927207540

Therefore, the lowest common multiple of 714,756,614,470 is 927207540.

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.

714 x 756 x 614 x 470 = 155770866720

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

614 : 1, 2, 307, 614

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,756,614,470, is 2.

Now, the common factors can be found like this.

714:2x 3x 7x 17

756:2x 2x 3x 3x 3x 7

614:2x 307

470:2x 5x 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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 155770866720/(2x84)

LCM = 155770866720/168

LCM = 927207540

Thus, we can understand that the LCM of 714,756,614,470 is 927207540.

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

• LCM of 345, 997, 911, 931
• LCM of 428, 518, 189, 968
• LCM of 765, 580, 916, 573
• LCM of 443, 458, 781, 693
• LCM of 121, 168, 413, 107

1. What is the LCM of 714, 756, 614, 470?

Answer: LCM of 714, 756, 614, 470 is 927207540.

2. How to calculate the LCM of 714, 756, 614, 470?

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 714, 756, 614, 470.

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}.