Given numbers are 966,438,456,582

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

The LCM of 966,438,456,582 is 519858696.

Find LCM of 966,438,456,582 with Prime Factorization

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

2 x 3 x 161 x 73 x 76 x 97 = 519858696

Therefore, the lowest common multiple of 966,438,456,582 is 519858696.

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.

966 x 438 x 456 x 582 = 112289478336

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.

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,438,456,582, is 6.

Now, the common factors can be found like this.

966:2x 3x 7x 23

438:2x 3x 73

456:2x 2x 2x 3x 19

582:2x 3x 97

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 112289478336/(6x36)

LCM = 112289478336/216

LCM = 519858696

Thus, we can understand that the LCM of 966,438,456,582 is 519858696.

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

• LCM of 120, 419, 581, 202
• LCM of 826, 345, 956, 754
• LCM of 949, 756, 452, 862
• LCM of 397, 119, 501, 619
• LCM of 884, 498, 525, 981

1. What is the LCM of 966, 438, 456, 582?

Answer: LCM of 966, 438, 456, 582 is 519858696.

2. How to calculate the LCM of 966, 438, 456, 582?

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 966, 438, 456, 582.

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}.