Given numbers are 949,203,729,312

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

The LCM of 949,203,729,312 is 1123517304.

Find LCM of 949,203,729,312 with Prime Factorization

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

3 x 13 x 73 x 203 x 243 x 8 = 1123517304

Therefore, the lowest common multiple of 949,203,729,312 is 1123517304.

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.

949 x 203 x 729 x 312 = 43817174856

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.

949 : 1, 13, 73, 949

203 : 1, 7, 29, 203

729 : 1, 3, 9, 27, 81, 243, 729

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,203,729,312, is 1.

Now, the common factors can be found like this.

949:13x 73

203:7x 29

729:3x 3x 3x 3x 3x 3

312:2x 2x 2x 3x 13

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 = 43817174856/(1x39)

LCM = 43817174856/39

LCM = 1123517304

Thus, we can understand that the LCM of 949,203,729,312 is 1123517304.

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

• LCM of 977, 398, 405, 103
• LCM of 380, 225, 583, 546
• LCM of 836, 957, 699, 502
• LCM of 680, 158, 487, 141
• LCM of 399, 166, 524, 753

1. What is the LCM of 949, 203, 729, 312?

Answer: LCM of 949, 203, 729, 312 is 1123517304.

2. How to calculate the LCM of 949, 203, 729, 312?

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 949, 203, 729, 312.

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}.