Given numbers are 589,469,104,714

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

The LCM of 589,469,104,714 is 1465182264.

Find LCM of 589,469,104,714 with Prime Factorization

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

2 x 7 x 589 x 67 x 52 x 51 = 1465182264

Therefore, the lowest common multiple of 589,469,104,714 is 1465182264.

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.

589 x 469 x 104 x 714 = 20512551696

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.

589 : 1, 19, 31, 589

469 : 1, 7, 67, 469

104 : 1, 2, 4, 8, 13, 26, 52, 104

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,469,104,714, is 1.

Now, the common factors can be found like this.

589:19x 31

469:7x 67

104:2x 2x 2x 13

714:2x 3x 7x 17

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 20512551696/(1x14)

LCM = 20512551696/14

LCM = 1465182264

Thus, we can understand that the LCM of 589,469,104,714 is 1465182264.

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

• LCM of 782, 291, 495, 724
• LCM of 499, 418, 970, 744
• LCM of 516, 928, 198, 607
• LCM of 425, 197, 967, 221
• LCM of 280, 968, 109, 472

1. What is the LCM of 589, 469, 104, 714?

Answer: LCM of 589, 469, 104, 714 is 1465182264.

2. How to calculate the LCM of 589, 469, 104, 714?

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 589, 469, 104, 714.

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}.