Given numbers are 458,148,102,671,491

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

The LCM of 458,148,102,671,491 is 569470702812.

Find LCM of 458,148,102,671,491 with Prime Factorization

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

2 x 229 x 74 x 51 x 671 x 491 = 569470702812

Therefore, the lowest common multiple of 458,148,102,671,491 is 569470702812.

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.

458 x 148 x 102 x 671 x 491 = 2277882811248

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.

458 : 1, 2, 229, 458

148 : 1, 2, 4, 37, 74, 148

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

671 : 1, 11, 61, 671

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,148,102,671,491, is 1.

Now, the common factors can be found like this.

458:2x 229

148:2x 2x 37

102:2x 3x 17

671:11x 61

491:491

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2277882811248/(1x4)

LCM = 2277882811248/4

LCM = 569470702812

Thus, we can understand that the LCM of 458,148,102,671,491 is 569470702812.

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

• LCM of 314, 445, 966, 141, 937
• LCM of 111, 962, 937, 294, 910
• LCM of 887, 418, 694, 644, 295
• LCM of 947, 804, 968, 517, 167
• LCM of 411, 647, 406, 633, 126

1. What is the LCM of 458, 148, 102, 671, 491?

Answer: LCM of 458, 148, 102, 671, 491 is 569470702812.

2. How to calculate the LCM of 458, 148, 102, 671, 491?

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 458, 148, 102, 671, 491.

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}.