Given numbers are 728,283,728,450,942

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

The LCM of 728,283,728,450,942 is 7277797800.

Find LCM of 728,283,728,450,942 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 1 x 283 x 1 x 75 x 157 = 7277797800

Therefore, the lowest common multiple of 728,283,728,450,942 is 7277797800.

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.

728 x 283 x 728 x 450 x 942 = 63578841580800

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.

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

283 : 1, 283

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

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

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,283,728,450,942, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

283:283

728:2x 2x 2x 7x 13

450:2x 3x 3x 5x 5

942:2x 3x 157

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 7x 13 = 8736

Therefore, the value for common factors is 8736.

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 = 63578841580800/(1x8736)

LCM = 63578841580800/8736

LCM = 7277797800

Thus, we can understand that the LCM of 728,283,728,450,942 is 7277797800.

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

• LCM of 568, 243, 699, 785, 616
• LCM of 612, 644, 892, 202, 975
• LCM of 151, 988, 335, 748, 663
• LCM of 680, 839, 879, 623, 308
• LCM of 501, 999, 933, 598, 194

1. What is the LCM of 728, 283, 728, 450, 942?

Answer: LCM of 728, 283, 728, 450, 942 is 7277797800.

2. How to calculate the LCM of 728, 283, 728, 450, 942?

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 728, 283, 728, 450, 942.

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}.