Given numbers are 449,540,428,716,658

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

The LCM of 449,540,428,716,658 is 1527822169020.

Find LCM of 449,540,428,716,658 with Prime Factorization

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

2 x 2 x 449 x 135 x 107 x 179 x 329 = 1527822169020

Therefore, the lowest common multiple of 449,540,428,716,658 is 1527822169020.

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.

449 x 540 x 428 x 716 x 658 = 48890309408640

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.

449 : 1, 449

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

428 : 1, 2, 4, 107, 214, 428

716 : 1, 2, 4, 179, 358, 716

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,540,428,716,658, is 1.

Now, the common factors can be found like this.

449:449

540:2x 2x 3x 3x 3x 5

428:2x 2x 107

716:2x 2x 179

658:2x 7x 47

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 2 = 32

Therefore, the value for common factors is 32.

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 = 48890309408640/(1x32)

LCM = 48890309408640/32

LCM = 1527822169020

Thus, we can understand that the LCM of 449,540,428,716,658 is 1527822169020.

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

• LCM of 432, 849, 885, 658, 524
• LCM of 815, 577, 638, 561, 954
• LCM of 608, 687, 244, 700, 771
• LCM of 927, 870, 120, 296, 994
• LCM of 609, 732, 895, 748, 189

1. What is the LCM of 449, 540, 428, 716, 658?

Answer: LCM of 449, 540, 428, 716, 658 is 1527822169020.

2. How to calculate the LCM of 449, 540, 428, 716, 658?

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 449, 540, 428, 716, 658.

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}.