Given numbers are 330,748,391,986,724

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

The LCM of 330,748,391,986,724 is 1354556940.

Find LCM of 330,748,391,986,724 with Prime Factorization

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

2 x 2 x 11 x 17 x 15 x 1 x 23 x 29 x 181 = 1354556940

Therefore, the lowest common multiple of 330,748,391,986,724 is 1354556940.

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.

330 x 748 x 391 x 986 x 724 = 68898184196160

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.

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

391 : 1, 17, 23, 391

986 : 1, 2, 17, 29, 34, 58, 493, 986

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,748,391,986,724, is 1.

Now, the common factors can be found like this.

330:2x 3x 5x 11

748:2x 2x 11x 17

391:17x 23

986:2x 17x 29

724:2x 2x 181

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 2x 11x 17x 17 = 50864

Therefore, the value for common factors is 50864.

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 = 68898184196160/(1x50864)

LCM = 68898184196160/50864

LCM = 1354556940

Thus, we can understand that the LCM of 330,748,391,986,724 is 1354556940.

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

• LCM of 835, 779, 742, 147, 511
• LCM of 894, 206, 941, 690, 756
• LCM of 757, 356, 235, 359, 681
• LCM of 155, 178, 658, 103, 813
• LCM of 244, 638, 659, 383, 279

1. What is the LCM of 330, 748, 391, 986, 724?

Answer: LCM of 330, 748, 391, 986, 724 is 1354556940.

2. How to calculate the LCM of 330, 748, 391, 986, 724?

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 330, 748, 391, 986, 724.

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}.