Given numbers are 193,178,349,376,361

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

The LCM of 193,178,349,376,361 is 813706507928.

Find LCM of 193,178,349,376,361 with Prime Factorization

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

2 x 193 x 89 x 349 x 188 x 361 = 813706507928

Therefore, the lowest common multiple of 193,178,349,376,361 is 813706507928.

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.

193 x 178 x 349 x 376 x 361 = 1627413015856

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.

193 : 1, 193

178 : 1, 2, 89, 178

349 : 1, 349

376 : 1, 2, 4, 8, 47, 94, 188, 376

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,178,349,376,361, is 1.

Now, the common factors can be found like this.

193:193

178:2x 89

349:349

376:2x 2x 2x 47

361:19x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 1627413015856/(1x2)

LCM = 1627413015856/2

LCM = 813706507928

Thus, we can understand that the LCM of 193,178,349,376,361 is 813706507928.

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

• LCM of 778, 524, 825, 857, 320
• LCM of 481, 601, 367, 916, 228
• LCM of 370, 198, 691, 244, 942
• LCM of 181, 443, 786, 964, 342
• LCM of 680, 383, 735, 846, 699

1. What is the LCM of 193, 178, 349, 376, 361?

Answer: LCM of 193, 178, 349, 376, 361 is 813706507928.

2. How to calculate the LCM of 193, 178, 349, 376, 361?

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 193, 178, 349, 376, 361.

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}.