Given numbers are 509,491,290,570

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

The LCM of 509,491,290,570 is 4131161070.

Find LCM of 509,491,290,570 with Prime Factorization

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

2 x 5 x 509 x 491 x 29 x 57 = 4131161070

Therefore, the lowest common multiple of 509,491,290,570 is 4131161070.

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 491 x 290 x 570 = 41311610700

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

491 : 1, 491

290 : 1, 2, 5, 10, 29, 58, 145, 290

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,491,290,570, is 1.

Now, the common factors can be found like this.

509:509

491:491

290:2x 5x 29

570:2x 3x 5x 19

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 41311610700/(1x10)

LCM = 41311610700/10

LCM = 4131161070

Thus, we can understand that the LCM of 509,491,290,570 is 4131161070.

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

• LCM of 650, 550, 434, 179
• LCM of 214, 773, 194, 150
• LCM of 892, 661, 271, 528
• LCM of 867, 707, 833, 234
• LCM of 350, 589, 226, 884

1. What is the LCM of 509, 491, 290, 570?

Answer: LCM of 509, 491, 290, 570 is 4131161070.

2. How to calculate the LCM of 509, 491, 290, 570?

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, 491, 290, 570.

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}.