Given numbers are 509,475,509,354

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

The LCM of 509,475,509,354 is 85588350.

Find LCM of 509,475,509,354 with Prime Factorization

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

509 x 1 x 475 x 1 x 354 = 85588350

Therefore, the lowest common multiple of 509,475,509,354 is 85588350.

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 475 x 509 x 354 = 43564470150

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

475 : 1, 5, 19, 25, 95, 475

509 : 1, 509

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,475,509,354, is 1.

Now, the common factors can be found like this.

509:509

475:5x 5x 19

509:509

354:2x 3x 59

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

509 = 509

Therefore, the value for common factors is 509.

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 = 43564470150/(1x509)

LCM = 43564470150/509

LCM = 85588350

Thus, we can understand that the LCM of 509,475,509,354 is 85588350.

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

• LCM of 459, 424, 978, 621
• LCM of 970, 229, 981, 837
• LCM of 737, 152, 423, 216
• LCM of 116, 956, 264, 593
• LCM of 981, 887, 628, 351

1. What is the LCM of 509, 475, 509, 354?

Answer: LCM of 509, 475, 509, 354 is 85588350.

2. How to calculate the LCM of 509, 475, 509, 354?

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, 475, 509, 354.

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}.