Given numbers are 497,509,875

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

The LCM of 497,509,875 is 31621625.

Find LCM of 497,509,875 with Prime Factorization

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

7 x 71 x 509 x 125 = 31621625

Therefore, the lowest common multiple of 497,509,875 is 31621625.

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.

497 x 509 x 875 = 221351375

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.

497 : 1, 7, 71, 497

509 : 1, 509

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,509,875, is 1.

Now, the common factors can be found like this.

497:7x 71

509:509

875:5x 5x 5x 7

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

7 = 7

Therefore, the value for common factors is 7.

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 = 221351375/(1x7)

LCM = 221351375/7

LCM = 31621625

Thus, we can understand that the LCM of 497,509,875 is 31621625.

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

• LCM of 384, 906, 624
• LCM of 457, 213, 998
• LCM of 207, 164, 390
• LCM of 798, 248, 279
• LCM of 962, 739, 666

1. What is the LCM of 497, 509, 875?

Answer: LCM of 497, 509, 875 is 31621625.

2. How to calculate the LCM of 497, 509, 875?

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 497, 509, 875.

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}.