Given numbers are 465,149,505

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

The LCM of 465,149,505 is 6997785.

Find LCM of 465,149,505 with Prime Factorization

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

5 x 93 x 149 x 101 = 6997785

Therefore, the lowest common multiple of 465,149,505 is 6997785.

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.

465 x 149 x 505 = 34988925

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

149 : 1, 149

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,149,505, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

149:149

505:5x 101

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

5 = 5

Therefore, the value for common factors is 5.

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 = 34988925/(1x5)

LCM = 34988925/5

LCM = 6997785

Thus, we can understand that the LCM of 465,149,505 is 6997785.

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

• LCM of 785, 412, 636
• LCM of 492, 428, 572
• LCM of 651, 402, 389
• LCM of 630, 688, 686
• LCM of 485, 355, 310

1. What is the LCM of 465, 149, 505?

Answer: LCM of 465, 149, 505 is 6997785.

2. How to calculate the LCM of 465, 149, 505?

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 465, 149, 505.

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}.