Given numbers are 146,224,816,121

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

The LCM of 146,224,816,121 is 100908192.

Find LCM of 146,224,816,121 with Prime Factorization

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

2 x 2 x 2 x 2 x 73 x 14 x 51 x 121 = 100908192

Therefore, the lowest common multiple of 146,224,816,121 is 100908192.

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.

146 x 224 x 816 x 121 = 3229062144

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.

146 : 1, 2, 73, 146

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,224,816,121, is 1.

Now, the common factors can be found like this.

146:2x 73

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

816:2x 2x 2x 2x 3x 17

121:11x 11

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 2 = 32

Therefore, the value for common factors is 32.

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 = 3229062144/(1x32)

LCM = 3229062144/32

LCM = 100908192

Thus, we can understand that the LCM of 146,224,816,121 is 100908192.

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

• LCM of 279, 631, 166, 302
• LCM of 607, 611, 304, 692
• LCM of 832, 875, 907, 708
• LCM of 510, 561, 369, 272
• LCM of 685, 432, 630, 780

1. What is the LCM of 146, 224, 816, 121?

Answer: LCM of 146, 224, 816, 121 is 100908192.

2. How to calculate the LCM of 146, 224, 816, 121?

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 146, 224, 816, 121.

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}.