Given numbers are 553,230,737,814

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

The LCM of 553,230,737,814 is 3468344110.

Find LCM of 553,230,737,814 with Prime Factorization

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

2 x 11 x 553 x 115 x 67 x 37 = 3468344110

Therefore, the lowest common multiple of 553,230,737,814 is 3468344110.

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.

553 x 230 x 737 x 814 = 76303570420

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.

553 : 1, 7, 79, 553

230 : 1, 2, 5, 10, 23, 46, 115, 230

737 : 1, 11, 67, 737

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,230,737,814, is 1.

Now, the common factors can be found like this.

553:7x 79

230:2x 5x 23

737:11x 67

814:2x 11x 37

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 76303570420/(1x22)

LCM = 76303570420/22

LCM = 3468344110

Thus, we can understand that the LCM of 553,230,737,814 is 3468344110.

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

• LCM of 714, 615, 108, 214
• LCM of 960, 810, 337, 123
• LCM of 997, 741, 474, 407
• LCM of 904, 262, 242, 937
• LCM of 456, 100, 590, 313

1. What is the LCM of 553, 230, 737, 814?

Answer: LCM of 553, 230, 737, 814 is 3468344110.

2. How to calculate the LCM of 553, 230, 737, 814?

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 553, 230, 737, 814.

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}.