Given numbers are 949,294,722,920,286

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

The LCM of 949,294,722,920,286 is 509649099960.

Find LCM of 949,294,722,920,286 with Prime Factorization

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

2 x 13 x 73 x 147 x 361 x 460 x 11 = 509649099960

Therefore, the lowest common multiple of 949,294,722,920,286 is 509649099960.

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 294 x 722 x 920 x 286 = 53003506395840

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

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

722 : 1, 2, 19, 38, 361, 722

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,294,722,920,286, is 1.

Now, the common factors can be found like this.

949:13x 73

294:2x 3x 7x 7

722:2x 19x 19

920:2x 2x 2x 5x 23

286:2x 11x 13

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

2x 2x 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 53003506395840/(1x104)

LCM = 53003506395840/104

LCM = 509649099960

Thus, we can understand that the LCM of 949,294,722,920,286 is 509649099960.

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

• LCM of 296, 867, 295, 566, 560
• LCM of 456, 180, 218, 163, 915
• LCM of 541, 564, 122, 535, 228
• LCM of 364, 395, 431, 710, 140
• LCM of 504, 188, 191, 240, 172

1. What is the LCM of 949, 294, 722, 920, 286?

Answer: LCM of 949, 294, 722, 920, 286 is 509649099960.

2. How to calculate the LCM of 949, 294, 722, 920, 286?

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, 294, 722, 920, 286.

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}.