Given numbers are 509,365,466,706

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

The LCM of 509,365,466,706 is 30561260930.

Find LCM of 509,365,466,706 with Prime Factorization

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

2 x 509 x 365 x 233 x 353 = 30561260930

Therefore, the lowest common multiple of 509,365,466,706 is 30561260930.

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.

509 x 365 x 466 x 706 = 61122521860

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.

509 : 1, 509

365 : 1, 5, 73, 365

466 : 1, 2, 233, 466

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,365,466,706, is 1.

Now, the common factors can be found like this.

509:509

365:5x 73

466:2x 233

706:2x 353

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

2 = 2

Therefore, the value for common factors is 2.

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 = 61122521860/(1x2)

LCM = 61122521860/2

LCM = 30561260930

Thus, we can understand that the LCM of 509,365,466,706 is 30561260930.

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

• LCM of 241, 693, 446, 505
• LCM of 550, 333, 226, 120
• LCM of 845, 220, 908, 556
• LCM of 148, 397, 430, 231
• LCM of 892, 902, 942, 886

1. What is the LCM of 509, 365, 466, 706?

Answer: LCM of 509, 365, 466, 706 is 30561260930.

2. How to calculate the LCM of 509, 365, 466, 706?

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 509, 365, 466, 706.

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}.