Given numbers are 634,450,728,300,796

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

The LCM of 634,450,728,300,796 is 10332995400.

Find LCM of 634,450,728,300,796 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 317 x 1 x 182 x 3 x 199 = 10332995400

Therefore, the lowest common multiple of 634,450,728,300,796 is 10332995400.

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.

634 x 450 x 728 x 300 x 796 = 49598377920000

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.

634 : 1, 2, 317, 634

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

796 : 1, 2, 4, 199, 398, 796

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,450,728,300,796, is 2.

Now, the common factors can be found like this.

634:2x 317

450:2x 3x 3x 5x 5

728:2x 2x 2x 7x 13

300:2x 2x 3x 5x 5

796:2x 2x 199

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 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 49598377920000/(2x2400)

LCM = 49598377920000/4800

LCM = 10332995400

Thus, we can understand that the LCM of 634,450,728,300,796 is 10332995400.

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

• LCM of 140, 527, 676, 314, 716
• LCM of 695, 623, 864, 513, 176
• LCM of 267, 870, 939, 426, 530
• LCM of 672, 120, 630, 950, 447
• LCM of 153, 442, 786, 291, 907

1. What is the LCM of 634, 450, 728, 300, 796?

Answer: LCM of 634, 450, 728, 300, 796 is 10332995400.

2. How to calculate the LCM of 634, 450, 728, 300, 796?

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 634, 450, 728, 300, 796.

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}.