Given numbers are 667,312,949,493

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

The LCM of 667,312,949,493 is 258257064.

Find LCM of 667,312,949,493 with Prime Factorization

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

13 x 29 x 23 x 24 x 73 x 17 = 258257064

Therefore, the lowest common multiple of 667,312,949,493 is 258257064.

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.

667 x 312 x 949 x 493 = 97362913128

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.

667 : 1, 23, 29, 667

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

949 : 1, 13, 73, 949

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,312,949,493, is 1.

Now, the common factors can be found like this.

667:23x 29

312:2x 2x 2x 3x 13

949:13x 73

493:17x 29

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

13x 29 = 377

Therefore, the value for common factors is 377.

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 = 97362913128/(1x377)

LCM = 97362913128/377

LCM = 258257064

Thus, we can understand that the LCM of 667,312,949,493 is 258257064.

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

• LCM of 120, 581, 510, 220
• LCM of 822, 845, 871, 221
• LCM of 691, 908, 809, 134
• LCM of 681, 200, 187, 569
• LCM of 993, 482, 638, 293

1. What is the LCM of 667, 312, 949, 493?

Answer: LCM of 667, 312, 949, 493 is 258257064.

2. How to calculate the LCM of 667, 312, 949, 493?

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 667, 312, 949, 493.

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}.