Given numbers are 491,658,750,436,661

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

The LCM of 491,658,750,436,661 is 17458085116500.

Find LCM of 491,658,750,436,661 with Prime Factorization

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

2 x 491 x 329 x 375 x 218 x 661 = 17458085116500

Therefore, the lowest common multiple of 491,658,750,436,661 is 17458085116500.

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.

491 x 658 x 750 x 436 x 661 = 69832340466000

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.

491 : 1, 491

658 : 1, 2, 7, 14, 47, 94, 329, 658

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

436 : 1, 2, 4, 109, 218, 436

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,658,750,436,661, is 1.

Now, the common factors can be found like this.

491:491

658:2x 7x 47

750:2x 3x 5x 5x 5

436:2x 2x 109

661:661

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 69832340466000/(1x4)

LCM = 69832340466000/4

LCM = 17458085116500

Thus, we can understand that the LCM of 491,658,750,436,661 is 17458085116500.

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

• LCM of 527, 115, 188, 542, 144
• LCM of 956, 640, 765, 737, 536
• LCM of 816, 236, 279, 139, 810
• LCM of 110, 642, 851, 679, 456
• LCM of 490, 978, 514, 206, 667

1. What is the LCM of 491, 658, 750, 436, 661?

Answer: LCM of 491, 658, 750, 436, 661 is 17458085116500.

2. How to calculate the LCM of 491, 658, 750, 436, 661?

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 491, 658, 750, 436, 661.

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}.