Given numbers are 491,193,301,466,102

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

The LCM of 491,193,301,466,102 is 677893374858.

Find LCM of 491,193,301,466,102 with Prime Factorization

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

2 x 491 x 193 x 301 x 233 x 51 = 677893374858

Therefore, the lowest common multiple of 491,193,301,466,102 is 677893374858.

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.

491 x 193 x 301 x 466 x 102 = 1355786749716

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.

491 : 1, 491

193 : 1, 193

301 : 1, 7, 43, 301

466 : 1, 2, 233, 466

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,193,301,466,102, is 1.

Now, the common factors can be found like this.

491:491

193:193

301:7x 43

466:2x 233

102:2x 3x 17

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 = 1355786749716/(1x2)

LCM = 1355786749716/2

LCM = 677893374858

Thus, we can understand that the LCM of 491,193,301,466,102 is 677893374858.

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

• LCM of 108, 652, 231, 681, 218
• LCM of 482, 531, 669, 286, 820
• LCM of 869, 401, 470, 397, 549
• LCM of 198, 804, 711, 726, 240
• LCM of 387, 516, 582, 280, 422

1. What is the LCM of 491, 193, 301, 466, 102?

Answer: LCM of 491, 193, 301, 466, 102 is 677893374858.

2. How to calculate the LCM of 491, 193, 301, 466, 102?

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 491, 193, 301, 466, 102.

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}.