Given numbers are 491,537,480,966

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

The LCM of 491,537,480,966 is 6792061920.

Find LCM of 491,537,480,966 with Prime Factorization

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

2 x 3 x 491 x 179 x 80 x 161 = 6792061920

Therefore, the lowest common multiple of 491,537,480,966 is 6792061920.

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.

491 x 537 x 480 x 966 = 122257114560

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.

491 : 1, 491

537 : 1, 3, 179, 537

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 491,537,480,966, is 1.

Now, the common factors can be found like this.

491:491

537:3x 179

480:2x 2x 2x 2x 2x 3x 5

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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 122257114560/(1x18)

LCM = 122257114560/18

LCM = 6792061920

Thus, we can understand that the LCM of 491,537,480,966 is 6792061920.

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

• LCM of 311, 662, 880, 684
• LCM of 933, 950, 326, 834
• LCM of 364, 433, 709, 736
• LCM of 465, 965, 872, 917
• LCM of 213, 409, 670, 131

1. What is the LCM of 491, 537, 480, 966?

Answer: LCM of 491, 537, 480, 966 is 6792061920.

2. How to calculate the LCM of 491, 537, 480, 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 491, 537, 480, 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}.