Given numbers are 814,737,284,689

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

The LCM of 814,737,284,689 is 5335888844.

Find LCM of 814,737,284,689 with Prime Factorization

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

2 x 11 x 37 x 67 x 142 x 689 = 5335888844

Therefore, the lowest common multiple of 814,737,284,689 is 5335888844.

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 737 x 284 x 689 = 117389554568

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

737 : 1, 11, 67, 737

284 : 1, 2, 4, 71, 142, 284

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,737,284,689, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

737:11x 67

284:2x 2x 71

689:13x 53

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 = 117389554568/(1x22)

LCM = 117389554568/22

LCM = 5335888844

Thus, we can understand that the LCM of 814,737,284,689 is 5335888844.

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

• LCM of 141, 402, 690, 358
• LCM of 801, 735, 553, 196
• LCM of 648, 900, 416, 268
• LCM of 432, 367, 533, 239
• LCM of 792, 551, 603, 726

1. What is the LCM of 814, 737, 284, 689?

Answer: LCM of 814, 737, 284, 689 is 5335888844.

2. How to calculate the LCM of 814, 737, 284, 689?

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, 737, 284, 689.

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}.