Given numbers are 760,163,217,448,488

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

The LCM of 760,163,217,448,488 is 13118396480.

Find LCM of 760,163,217,448,488 with Prime Factorization

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

2 x 2 x 2 x 7 x 95 x 163 x 31 x 8 x 61 = 13118396480

Therefore, the lowest common multiple of 760,163,217,448,488 is 13118396480.

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 163 x 217 x 448 x 488 = 5877041623040

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

163 : 1, 163

217 : 1, 7, 31, 217

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

488 : 1, 2, 4, 8, 61, 122, 244, 488

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,163,217,448,488, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

163:163

217:7x 31

448:2x 2x 2x 2x 2x 2x 7

488:2x 2x 2x 61

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 2x 7 = 448

Therefore, the value for common factors is 448.

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 = 5877041623040/(1x448)

LCM = 5877041623040/448

LCM = 13118396480

Thus, we can understand that the LCM of 760,163,217,448,488 is 13118396480.

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

• LCM of 839, 801, 562, 457, 955
• LCM of 953, 428, 895, 782, 384
• LCM of 831, 196, 212, 708, 471
• LCM of 567, 384, 299, 830, 470
• LCM of 605, 248, 168, 315, 686

1. What is the LCM of 760, 163, 217, 448, 488?

Answer: LCM of 760, 163, 217, 448, 488 is 13118396480.

2. How to calculate the LCM of 760, 163, 217, 448, 488?

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, 163, 217, 448, 488.

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}.