Given numbers are 755,408,117,257,660

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

The LCM of 755,408,117,257,660 is 33962334120.

Find LCM of 755,408,117,257,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 151 x 34 x 39 x 257 x 11 = 33962334120

Therefore, the lowest common multiple of 755,408,117,257,660 is 33962334120.

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.

755 x 408 x 117 x 257 x 660 = 6113220141600

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.

755 : 1, 5, 151, 755

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

117 : 1, 3, 9, 13, 39, 117

257 : 1, 257

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,408,117,257,660, is 1.

Now, the common factors can be found like this.

755:5x 151

408:2x 2x 2x 3x 17

117:3x 3x 13

257:257

660:2x 2x 3x 5x 11

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 5 = 180

Therefore, the value for common factors is 180.

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 = 6113220141600/(1x180)

LCM = 6113220141600/180

LCM = 33962334120

Thus, we can understand that the LCM of 755,408,117,257,660 is 33962334120.

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

• LCM of 836, 172, 107, 285, 522
• LCM of 420, 278, 487, 192, 973
• LCM of 745, 150, 935, 693, 238
• LCM of 846, 942, 279, 315, 841
• LCM of 475, 810, 697, 478, 960

1. What is the LCM of 755, 408, 117, 257, 660?

Answer: LCM of 755, 408, 117, 257, 660 is 33962334120.

2. How to calculate the LCM of 755, 408, 117, 257, 660?

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 755, 408, 117, 257, 660.

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}.