Given numbers are 644,461,734,745,842

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

The LCM of 644,461,734,745,842 is 34173638860060.

Find LCM of 644,461,734,745,842 with Prime Factorization

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

2 x 322 x 461 x 367 x 745 x 421 = 34173638860060

Therefore, the lowest common multiple of 644,461,734,745,842 is 34173638860060.

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.

644 x 461 x 734 x 745 x 842 = 136694555440240

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

461 : 1, 461

734 : 1, 2, 367, 734

745 : 1, 5, 149, 745

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,461,734,745,842, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

461:461

734:2x 367

745:5x 149

842:2x 421

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 136694555440240/(1x4)

LCM = 136694555440240/4

LCM = 34173638860060

Thus, we can understand that the LCM of 644,461,734,745,842 is 34173638860060.

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

• LCM of 847, 880, 974, 386, 968
• LCM of 397, 439, 966, 893, 809
• LCM of 505, 352, 445, 445, 632
• LCM of 472, 937, 737, 689, 550
• LCM of 314, 531, 130, 594, 548

1. What is the LCM of 644, 461, 734, 745, 842?

Answer: LCM of 644, 461, 734, 745, 842 is 34173638860060.

2. How to calculate the LCM of 644, 461, 734, 745, 842?

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 644, 461, 734, 745, 842.

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}.