Given numbers are 456,201,802

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

The LCM of 456,201,802 is 12251352.

Find LCM of 456,201,802 with Prime Factorization

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

2 x 3 x 76 x 67 x 401 = 12251352

Therefore, the lowest common multiple of 456,201,802 is 12251352.

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 201 x 802 = 73508112

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

201 : 1, 3, 67, 201

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,201,802, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

201:3x 67

802:2x 401

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 73508112/(1x6)

LCM = 73508112/6

LCM = 12251352

Thus, we can understand that the LCM of 456,201,802 is 12251352.

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

• LCM of 348, 265, 419
• LCM of 780, 210, 284
• LCM of 971, 793, 614
• LCM of 130, 957, 696
• LCM of 909, 292, 292

1. What is the LCM of 456, 201, 802?

Answer: LCM of 456, 201, 802 is 12251352.

2. How to calculate the LCM of 456, 201, 802?

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, 201, 802.

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}.