Given numbers are 494,970,560,614,638

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

The LCM of 494,970,560,614,638 is 1313970978320.

Find LCM of 494,970,560,614,638 with Prime Factorization

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

2 x 5 x 247 x 97 x 56 x 307 x 319 = 1313970978320

Therefore, the lowest common multiple of 494,970,560,614,638 is 1313970978320.

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.

494 x 970 x 560 x 614 x 638 = 105117678265600

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

970 : 1, 2, 5, 10, 97, 194, 485, 970

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

614 : 1, 2, 307, 614

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,970,560,614,638, is 2.

Now, the common factors can be found like this.

494:2x 13x 19

970:2x 5x 97

560:2x 2x 2x 2x 5x 7

614:2x 307

638:2x 11x 29

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

2x 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 105117678265600/(2x40)

LCM = 105117678265600/80

LCM = 1313970978320

Thus, we can understand that the LCM of 494,970,560,614,638 is 1313970978320.

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

• LCM of 359, 859, 970, 597, 123
• LCM of 329, 543, 848, 181, 369
• LCM of 782, 193, 644, 974, 835
• LCM of 365, 971, 293, 194, 642
• LCM of 185, 619, 874, 721, 217

1. What is the LCM of 494, 970, 560, 614, 638?

Answer: LCM of 494, 970, 560, 614, 638 is 1313970978320.

2. How to calculate the LCM of 494, 970, 560, 614, 638?

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 494, 970, 560, 614, 638.

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}.