Given numbers are 992,224,424,211,786

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

The LCM of 992,224,424,211,786 is 30518317536.

Find LCM of 992,224,424,211,786 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 31 x 7 x 53 x 211 x 393 = 30518317536

Therefore, the lowest common multiple of 992,224,424,211,786 is 30518317536.

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.

992 x 224 x 424 x 211 x 786 = 15625378578432

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.

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

424 : 1, 2, 4, 8, 53, 106, 212, 424

211 : 1, 211

786 : 1, 2, 3, 6, 131, 262, 393, 786

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,224,424,211,786, is 1.

Now, the common factors can be found like this.

992:2x 2x 2x 2x 2x 31

224:2x 2x 2x 2x 2x 7

424:2x 2x 2x 53

211:211

786:2x 3x 131

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 2x 2x 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 15625378578432/(1x512)

LCM = 15625378578432/512

LCM = 30518317536

Thus, we can understand that the LCM of 992,224,424,211,786 is 30518317536.

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

• LCM of 857, 398, 651, 610, 928
• LCM of 561, 645, 492, 880, 665
• LCM of 264, 941, 223, 325, 277
• LCM of 478, 720, 677, 506, 305
• LCM of 123, 896, 999, 862, 838

1. What is the LCM of 992, 224, 424, 211, 786?

Answer: LCM of 992, 224, 424, 211, 786 is 30518317536.

2. How to calculate the LCM of 992, 224, 424, 211, 786?

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 992, 224, 424, 211, 786.

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}.