Given numbers are 714,726,612,517

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

The LCM of 714,726,612,517 is 24363108.

Find LCM of 714,726,612,517 with Prime Factorization

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

2 x 3 x 11 x 17 x 7 x 11 x 6 x 47 = 24363108

Therefore, the lowest common multiple of 714,726,612,517 is 24363108.

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 726 x 612 x 517 = 164012443056

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,726,612,517, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

726:2x 3x 11x 11

612:2x 2x 3x 3x 17

517:11x 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 3x 11x 17 = 6732

Therefore, the value for common factors is 6732.

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 = 164012443056/(1x6732)

LCM = 164012443056/6732

LCM = 24363108

Thus, we can understand that the LCM of 714,726,612,517 is 24363108.

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

• LCM of 870, 254, 600, 991
• LCM of 600, 591, 646, 654
• LCM of 292, 638, 966, 725
• LCM of 629, 730, 724, 463
• LCM of 412, 916, 640, 102

1. What is the LCM of 714, 726, 612, 517?

Answer: LCM of 714, 726, 612, 517 is 24363108.

2. How to calculate the LCM of 714, 726, 612, 517?

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, 726, 612, 517.

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}.