Given numbers are 509,641,538,645,370

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

The LCM of 509,641,538,645,370 is 4189088410530.

Find LCM of 509,641,538,645,370 with Prime Factorization

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

2 x 5 x 509 x 641 x 269 x 129 x 37 = 4189088410530

Therefore, the lowest common multiple of 509,641,538,645,370 is 4189088410530.

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 641 x 538 x 645 x 370 = 41890884105300

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

641 : 1, 641

538 : 1, 2, 269, 538

645 : 1, 3, 5, 15, 43, 129, 215, 645

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,641,538,645,370, is 1.

Now, the common factors can be found like this.

509:509

641:641

538:2x 269

645:3x 5x 43

370:2x 5x 37

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 = 41890884105300/(1x10)

LCM = 41890884105300/10

LCM = 4189088410530

Thus, we can understand that the LCM of 509,641,538,645,370 is 4189088410530.

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

• LCM of 676, 795, 734, 402, 945
• LCM of 968, 792, 415, 404, 983
• LCM of 765, 813, 612, 863, 156
• LCM of 773, 931, 320, 410, 585
• LCM of 401, 222, 276, 718, 808

1. What is the LCM of 509, 641, 538, 645, 370?

Answer: LCM of 509, 641, 538, 645, 370 is 4189088410530.

2. How to calculate the LCM of 509, 641, 538, 645, 370?

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, 641, 538, 645, 370.

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}.