Given numbers are 456,226,706,966

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

The LCM of 456,226,706,966 is 2928490824.

Find LCM of 456,226,706,966 with Prime Factorization

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

2 x 3 x 76 x 113 x 353 x 161 = 2928490824

Therefore, the lowest common multiple of 456,226,706,966 is 2928490824.

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.

456 x 226 x 706 x 966 = 70283779776

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.

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

226 : 1, 2, 113, 226

706 : 1, 2, 353, 706

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,226,706,966, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

226:2x 113

706:2x 353

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 3 = 12

Therefore, the value for common factors is 12.

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 = 70283779776/(2x12)

LCM = 70283779776/24

LCM = 2928490824

Thus, we can understand that the LCM of 456,226,706,966 is 2928490824.

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

• LCM of 646, 406, 560, 222
• LCM of 986, 490, 348, 113
• LCM of 983, 640, 683, 952
• LCM of 676, 746, 408, 776
• LCM of 426, 732, 918, 570

1. What is the LCM of 456, 226, 706, 966?

Answer: LCM of 456, 226, 706, 966 is 2928490824.

2. How to calculate the LCM of 456, 226, 706, 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 456, 226, 706, 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}.