Given numbers are 760,497,950,990,966

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

The LCM of 760,497,950,990,966 is 4300342200.

Find LCM of 760,497,950,990,966 with Prime Factorization

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

2 x 3 x 5 x 7 x 19 x 4 x 71 x 5 x 33 x 23 = 4300342200

Therefore, the lowest common multiple of 760,497,950,990,966 is 4300342200.

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 497 x 950 x 990 x 966 = 343167307560000

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

497 : 1, 7, 71, 497

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,497,950,990,966, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

497:7x 71

950:2x 5x 5x 19

990:2x 3x 3x 5x 11

966:2x 3x 7x 23

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 3x 5x 5x 7x 19 = 79800

Therefore, the value for common factors is 79800.

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 = 343167307560000/(1x79800)

LCM = 343167307560000/79800

LCM = 4300342200

Thus, we can understand that the LCM of 760,497,950,990,966 is 4300342200.

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

• LCM of 544, 860, 341, 760, 495
• LCM of 805, 874, 457, 368, 149
• LCM of 103, 717, 714, 296, 956
• LCM of 499, 595, 935, 940, 114
• LCM of 736, 667, 205, 447, 783

1. What is the LCM of 760, 497, 950, 990, 966?

Answer: LCM of 760, 497, 950, 990, 966 is 4300342200.

2. How to calculate the LCM of 760, 497, 950, 990, 966?

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, 497, 950, 990, 966.

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}.