Given numbers are 112,121,792,84

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

The LCM of 112,121,792,84 is 121968.

Find LCM of 112,121,792,84 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 11 x 2 x 11 x 3 x 1 = 121968

Therefore, the lowest common multiple of 112,121,792,84 is 121968.

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.

112 x 121 x 792 x 84 = 901587456

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

121 : 1, 11, 121

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,121,792,84, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

121:11x 11

792:2x 2x 2x 3x 3x 11

84:2x 2x 3x 7

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 11 = 7392

Therefore, the value for common factors is 7392.

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 = 901587456/(1x7392)

LCM = 901587456/7392

LCM = 121968

Thus, we can understand that the LCM of 112,121,792,84 is 121968.

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

• LCM of 866, 341, 265, 33
• LCM of 489, 631, 216, 80
• LCM of 314, 819, 739, 64
• LCM of 547, 730, 819, 68
• LCM of 203, 496, 569, 71

1. What is the LCM of 112, 121, 792, 84?

Answer: LCM of 112, 121, 792, 84 is 121968.

2. How to calculate the LCM of 112, 121, 792, 84?

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 112, 121, 792, 84.

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}.