Given numbers are 757,260,880,473,494

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

The LCM of 757,260,880,473,494 is 7075285360.

Find LCM of 757,260,880,473,494 with Prime Factorization

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

2 x 2 x 5 x 11 x 13 x 757 x 1 x 4 x 43 x 19 = 7075285360

Therefore, the lowest common multiple of 757,260,880,473,494 is 7075285360.

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.

757 x 260 x 880 x 473 x 494 = 40470632259200

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.

757 : 1, 757

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

473 : 1, 11, 43, 473

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,260,880,473,494, is 1.

Now, the common factors can be found like this.

757:757

260:2x 2x 5x 13

880:2x 2x 2x 2x 5x 11

473:11x 43

494:2x 13x 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 2x 2x 5x 11x 13 = 5720

Therefore, the value for common factors is 5720.

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 = 40470632259200/(1x5720)

LCM = 40470632259200/5720

LCM = 7075285360

Thus, we can understand that the LCM of 757,260,880,473,494 is 7075285360.

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

• LCM of 368, 299, 787, 265, 381
• LCM of 843, 298, 908, 722, 939
• LCM of 259, 448, 274, 581, 797
• LCM of 342, 400, 127, 427, 494
• LCM of 901, 997, 903, 619, 980

1. What is the LCM of 757, 260, 880, 473, 494?

Answer: LCM of 757, 260, 880, 473, 494 is 7075285360.

2. How to calculate the LCM of 757, 260, 880, 473, 494?

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 757, 260, 880, 473, 494.

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}.