Given numbers are 491,489,312,949

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

The LCM of 491,489,312,949 is 1822831608.

Find LCM of 491,489,312,949 with Prime Factorization

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

3 x 13 x 491 x 163 x 8 x 73 = 1822831608

Therefore, the lowest common multiple of 491,489,312,949 is 1822831608.

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 489 x 312 x 949 = 71090432712

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

489 : 1, 3, 163, 489

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

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,489,312,949, is 1.

Now, the common factors can be found like this.

491:491

489:3x 163

312:2x 2x 2x 3x 13

949:13x 73

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 71090432712/(1x39)

LCM = 71090432712/39

LCM = 1822831608

Thus, we can understand that the LCM of 491,489,312,949 is 1822831608.

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

• LCM of 155, 988, 212, 597
• LCM of 810, 837, 803, 808
• LCM of 351, 890, 848, 116
• LCM of 544, 392, 673, 492
• LCM of 115, 705, 890, 481

1. What is the LCM of 491, 489, 312, 949?

Answer: LCM of 491, 489, 312, 949 is 1822831608.

2. How to calculate the LCM of 491, 489, 312, 949?

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, 489, 312, 949.

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}.