Given numbers are 208,228,596,157,829

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

The LCM of 208,228,596,157,829 is 229921001232.

Find LCM of 208,228,596,157,829 with Prime Factorization

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

2 x 2 x 52 x 57 x 149 x 157 x 829 = 229921001232

Therefore, the lowest common multiple of 208,228,596,157,829 is 229921001232.

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.

208 x 228 x 596 x 157 x 829 = 3678736019712

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

596 : 1, 2, 4, 149, 298, 596

157 : 1, 157

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,228,596,157,829, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

228:2x 2x 3x 19

596:2x 2x 149

157:157

829:829

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 2 = 16

Therefore, the value for common factors is 16.

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 = 3678736019712/(1x16)

LCM = 3678736019712/16

LCM = 229921001232

Thus, we can understand that the LCM of 208,228,596,157,829 is 229921001232.

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

• LCM of 921, 430, 355, 551, 800
• LCM of 151, 398, 288, 161, 510
• LCM of 801, 852, 524, 760, 454
• LCM of 119, 384, 642, 681, 922
• LCM of 468, 919, 690, 733, 454

1. What is the LCM of 208, 228, 596, 157, 829?

Answer: LCM of 208, 228, 596, 157, 829 is 229921001232.

2. How to calculate the LCM of 208, 228, 596, 157, 829?

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 208, 228, 596, 157, 829.

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}.