Given numbers are 814,268,551,201

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

The LCM of 814,268,551,201 is 180302628.

Find LCM of 814,268,551,201 with Prime Factorization

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

2 x 67 x 407 x 2 x 551 x 3 = 180302628

Therefore, the lowest common multiple of 814,268,551,201 is 180302628.

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.

814 x 268 x 551 x 201 = 24160552152

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

551 : 1, 19, 29, 551

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,268,551,201, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

268:2x 2x 67

551:19x 29

201:3x 67

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 24160552152/(1x134)

LCM = 24160552152/134

LCM = 180302628

Thus, we can understand that the LCM of 814,268,551,201 is 180302628.

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

• LCM of 880, 964, 390, 627
• LCM of 524, 518, 343, 502
• LCM of 325, 579, 903, 690
• LCM of 524, 591, 715, 412
• LCM of 831, 257, 443, 165

1. What is the LCM of 814, 268, 551, 201?

Answer: LCM of 814, 268, 551, 201 is 180302628.

2. How to calculate the LCM of 814, 268, 551, 201?

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 814, 268, 551, 201.

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}.