Given numbers are 456,562,268,107

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

The LCM of 456,562,268,107 is 918606984.

Find LCM of 456,562,268,107 with Prime Factorization

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

2 x 2 x 114 x 281 x 67 x 107 = 918606984

Therefore, the lowest common multiple of 456,562,268,107 is 918606984.

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 562 x 268 x 107 = 7348855872

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

562 : 1, 2, 281, 562

268 : 1, 2, 4, 67, 134, 268

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,562,268,107, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

562:2x 281

268:2x 2x 67

107:107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7348855872/(1x8)

LCM = 7348855872/8

LCM = 918606984

Thus, we can understand that the LCM of 456,562,268,107 is 918606984.

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

• LCM of 716, 137, 803, 196
• LCM of 789, 520, 506, 362
• LCM of 351, 916, 529, 901
• LCM of 902, 463, 729, 644
• LCM of 857, 216, 869, 692

1. What is the LCM of 456, 562, 268, 107?

Answer: LCM of 456, 562, 268, 107 is 918606984.

2. How to calculate the LCM of 456, 562, 268, 107?

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, 562, 268, 107.

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}.