Given numbers are 749,416,395,565,560

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

The LCM of 749,416,395,565,560 is 13907551840.

Find LCM of 749,416,395,565,560 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 107 x 26 x 79 x 113 x 1 = 13907551840

Therefore, the lowest common multiple of 749,416,395,565,560 is 13907551840.

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.

749 x 416 x 395 x 565 x 560 = 38941145152000

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.

749 : 1, 7, 107, 749

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

395 : 1, 5, 79, 395

565 : 1, 5, 113, 565

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,416,395,565,560, is 1.

Now, the common factors can be found like this.

749:7x 107

416:2x 2x 2x 2x 2x 13

395:5x 79

565:5x 113

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

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 2x 5x 5x 7 = 2800

Therefore, the value for common factors is 2800.

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 = 38941145152000/(1x2800)

LCM = 38941145152000/2800

LCM = 13907551840

Thus, we can understand that the LCM of 749,416,395,565,560 is 13907551840.

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

• LCM of 582, 967, 763, 996, 735
• LCM of 980, 777, 544, 119, 754
• LCM of 887, 677, 594, 264, 560
• LCM of 118, 768, 830, 625, 963
• LCM of 228, 954, 528, 684, 837

1. What is the LCM of 749, 416, 395, 565, 560?

Answer: LCM of 749, 416, 395, 565, 560 is 13907551840.

2. How to calculate the LCM of 749, 416, 395, 565, 560?

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 749, 416, 395, 565, 560.

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}.