Given numbers are 417,989,660,744,544

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

The LCM of 417,989,660,744,544 is 382521305760.

Find LCM of 417,989,660,744,544 with Prime Factorization

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

2 x 2 x 2 x 3 x 139 x 989 x 55 x 31 x 68 = 382521305760

Therefore, the lowest common multiple of 417,989,660,744,544 is 382521305760.

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.

417 x 989 x 660 x 744 x 544 = 110166136058880

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.

417 : 1, 3, 139, 417

989 : 1, 23, 43, 989

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,989,660,744,544, is 1.

Now, the common factors can be found like this.

417:3x 139

989:23x 43

660:2x 2x 3x 5x 11

744:2x 2x 2x 3x 31

544:2x 2x 2x 2x 2x 17

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 110166136058880/(1x288)

LCM = 110166136058880/288

LCM = 382521305760

Thus, we can understand that the LCM of 417,989,660,744,544 is 382521305760.

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

• LCM of 327, 167, 835, 333, 713
• LCM of 190, 658, 231, 547, 693
• LCM of 438, 215, 991, 345, 970
• LCM of 771, 443, 314, 724, 500
• LCM of 520, 947, 726, 385, 688

1. What is the LCM of 417, 989, 660, 744, 544?

Answer: LCM of 417, 989, 660, 744, 544 is 382521305760.

2. How to calculate the LCM of 417, 989, 660, 744, 544?

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 417, 989, 660, 744, 544.

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}.