Given numbers are 157,305,624,224,828

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

The LCM of 157,305,624,224,828 is 28864311840.

Find LCM of 157,305,624,224,828 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 157 x 305 x 13 x 14 x 69 = 28864311840

Therefore, the lowest common multiple of 157,305,624,224,828 is 28864311840.

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.

157 x 305 x 624 x 224 x 828 = 5541947873280

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.

157 : 1, 157

305 : 1, 5, 61, 305

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,305,624,224,828, is 1.

Now, the common factors can be found like this.

157:157

305:5x 61

624:2x 2x 2x 2x 3x 13

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

828:2x 2x 3x 3x 23

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 3 = 192

Therefore, the value for common factors is 192.

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 = 5541947873280/(1x192)

LCM = 5541947873280/192

LCM = 28864311840

Thus, we can understand that the LCM of 157,305,624,224,828 is 28864311840.

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

• LCM of 592, 250, 816, 174, 446
• LCM of 124, 828, 117, 552, 204
• LCM of 761, 995, 493, 672, 322
• LCM of 896, 200, 880, 277, 384
• LCM of 886, 155, 947, 319, 121

1. What is the LCM of 157, 305, 624, 224, 828?

Answer: LCM of 157, 305, 624, 224, 828 is 28864311840.

2. How to calculate the LCM of 157, 305, 624, 224, 828?

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 157, 305, 624, 224, 828.

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}.