Given numbers are 726,145,321,249,802

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

The LCM of 726,145,321,249,802 is 374896050870.

Find LCM of 726,145,321,249,802 with Prime Factorization

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

2 x 3 x 121 x 145 x 107 x 83 x 401 = 374896050870

Therefore, the lowest common multiple of 726,145,321,249,802 is 374896050870.

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.

726 x 145 x 321 x 249 x 802 = 6748128915660

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.

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

145 : 1, 5, 29, 145

321 : 1, 3, 107, 321

249 : 1, 3, 83, 249

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,145,321,249,802, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

145:5x 29

321:3x 107

249:3x 83

802:2x 401

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 6748128915660/(1x18)

LCM = 6748128915660/18

LCM = 374896050870

Thus, we can understand that the LCM of 726,145,321,249,802 is 374896050870.

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

• LCM of 753, 360, 539, 833, 411
• LCM of 132, 738, 172, 572, 349
• LCM of 225, 554, 866, 956, 469
• LCM of 317, 387, 487, 137, 499
• LCM of 296, 856, 292, 501, 836

1. What is the LCM of 726, 145, 321, 249, 802?

Answer: LCM of 726, 145, 321, 249, 802 is 374896050870.

2. How to calculate the LCM of 726, 145, 321, 249, 802?

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 726, 145, 321, 249, 802.

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}.