Given numbers are 312,715,949

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

The LCM of 312,715,949 is 1252680.

Find LCM of 312,715,949 with Prime Factorization

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

13 x 24 x 55 x 73 = 1252680

Therefore, the lowest common multiple of 312,715,949 is 1252680.

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.

312 x 715 x 949 = 211702920

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.

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

949 : 1, 13, 73, 949

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,715,949, is 13.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

715:5x 11x 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.

13 = 13

Therefore, the value for common factors is 13.

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 = 211702920/(13x13)

LCM = 211702920/169

LCM = 1252680

Thus, we can understand that the LCM of 312,715,949 is 1252680.

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

• LCM of 607, 347, 927
• LCM of 226, 653, 397
• LCM of 765, 930, 709
• LCM of 723, 921, 606
• LCM of 446, 948, 769

1. What is the LCM of 312, 715, 949?

Answer: LCM of 312, 715, 949 is 1252680.

2. How to calculate the LCM of 312, 715, 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 312, 715, 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}.