Given numbers are 760,576,355,163,270

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

The LCM of 760,576,355,163,270 is 1899823680.

Find LCM of 760,576,355,163,270 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 19 x 8 x 71 x 163 x 3 = 1899823680

Therefore, the lowest common multiple of 760,576,355,163,270 is 1899823680.

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.

760 x 576 x 355 x 163 x 270 = 6839365248000

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

355 : 1, 5, 71, 355

163 : 1, 163

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,576,355,163,270, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

576:2x 2x 2x 2x 2x 2x 3x 3

355:5x 71

163:163

270:2x 3x 3x 3x 5

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 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 6839365248000/(1x3600)

LCM = 6839365248000/3600

LCM = 1899823680

Thus, we can understand that the LCM of 760,576,355,163,270 is 1899823680.

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

• LCM of 208, 131, 167, 613, 468
• LCM of 877, 819, 761, 198, 657
• LCM of 675, 869, 749, 247, 812
• LCM of 138, 182, 663, 275, 942
• LCM of 893, 220, 969, 526, 196

1. What is the LCM of 760, 576, 355, 163, 270?

Answer: LCM of 760, 576, 355, 163, 270 is 1899823680.

2. How to calculate the LCM of 760, 576, 355, 163, 270?

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 760, 576, 355, 163, 270.

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}.