Given numbers are 507,586,361,689

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

The LCM of 507,586,361,689 is 5684452566.

Find LCM of 507,586,361,689 with Prime Factorization

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

13 x 39 x 586 x 361 x 53 = 5684452566

Therefore, the lowest common multiple of 507,586,361,689 is 5684452566.

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.

507 x 586 x 361 x 689 = 73897883358

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.

507 : 1, 3, 13, 39, 169, 507

586 : 1, 2, 293, 586

361 : 1, 19, 361

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,586,361,689, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

586:2x 293

361:19x 19

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 73897883358/(1x13)

LCM = 73897883358/13

LCM = 5684452566

Thus, we can understand that the LCM of 507,586,361,689 is 5684452566.

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

• LCM of 329, 611, 781, 224
• LCM of 325, 784, 663, 835
• LCM of 423, 819, 109, 716
• LCM of 345, 533, 175, 726
• LCM of 818, 898, 983, 632

1. What is the LCM of 507, 586, 361, 689?

Answer: LCM of 507, 586, 361, 689 is 5684452566.

2. How to calculate the LCM of 507, 586, 361, 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 507, 586, 361, 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}.