Given numbers are 760,582,240,214,965

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

The LCM of 760,582,240,214,965 is 9134350320.

Find LCM of 760,582,240,214,965 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 19 x 97 x 2 x 107 x 193 = 9134350320

Therefore, the lowest common multiple of 760,582,240,214,965 is 9134350320.

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 582 x 240 x 214 x 965 = 21922440768000

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

214 : 1, 2, 107, 214

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,582,240,214,965, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

582:2x 3x 97

240:2x 2x 2x 2x 3x 5

214:2x 107

965:5x 193

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 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 21922440768000/(1x2400)

LCM = 21922440768000/2400

LCM = 9134350320

Thus, we can understand that the LCM of 760,582,240,214,965 is 9134350320.

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

• LCM of 829, 904, 576, 376, 275
• LCM of 266, 460, 329, 736, 360
• LCM of 483, 124, 596, 629, 931
• LCM of 614, 248, 956, 502, 275
• LCM of 594, 413, 407, 548, 671

1. What is the LCM of 760, 582, 240, 214, 965?

Answer: LCM of 760, 582, 240, 214, 965 is 9134350320.

2. How to calculate the LCM of 760, 582, 240, 214, 965?

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, 582, 240, 214, 965.

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}.