Given numbers are 416,428,582,679,741

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

The LCM of 416,428,582,679,741 is 1722747936.

Find LCM of 416,428,582,679,741 with Prime Factorization

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

2 x 2 x 3 x 13 x 97 x 8 x 107 x 1 x 7 x 19 = 1722747936

Therefore, the lowest common multiple of 416,428,582,679,741 is 1722747936.

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.

416 x 428 x 582 x 679 x 741 = 52137243535104

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.

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

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

679 : 1, 7, 97, 679

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,428,582,679,741, is 1.

Now, the common factors can be found like this.

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

428:2x 2x 107

582:2x 3x 97

679:7x 97

741:3x 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 3x 13x 97 = 30264

Therefore, the value for common factors is 30264.

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 = 52137243535104/(1x30264)

LCM = 52137243535104/30264

LCM = 1722747936

Thus, we can understand that the LCM of 416,428,582,679,741 is 1722747936.

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

• LCM of 944, 179, 640, 145, 726
• LCM of 825, 671, 541, 478, 491
• LCM of 334, 359, 744, 742, 471
• LCM of 593, 963, 780, 281, 815
• LCM of 546, 937, 684, 463, 366

1. What is the LCM of 416, 428, 582, 679, 741?

Answer: LCM of 416, 428, 582, 679, 741 is 1722747936.

2. How to calculate the LCM of 416, 428, 582, 679, 741?

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 416, 428, 582, 679, 741.

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}.