Given numbers are 948,675,814,276,771

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

The LCM of 948,675,814,276,771 is 513152234100.

Find LCM of 948,675,814,276,771 with Prime Factorization

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

2 x 2 x 3 x 79 x 225 x 407 x 23 x 257 = 513152234100

Therefore, the lowest common multiple of 948,675,814,276,771 is 513152234100.

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.

948 x 675 x 814 x 276 x 771 = 110840882565600

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

814 : 1, 2, 11, 22, 37, 74, 407, 814

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,675,814,276,771, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

675:3x 3x 3x 5x 5

814:2x 11x 37

276:2x 2x 3x 23

771:3x 257

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 110840882565600/(1x216)

LCM = 110840882565600/216

LCM = 513152234100

Thus, we can understand that the LCM of 948,675,814,276,771 is 513152234100.

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

• LCM of 821, 500, 577, 784, 905
• LCM of 830, 188, 982, 482, 198
• LCM of 441, 380, 181, 682, 637
• LCM of 862, 163, 525, 321, 519
• LCM of 891, 949, 242, 676, 281

1. What is the LCM of 948, 675, 814, 276, 771?

Answer: LCM of 948, 675, 814, 276, 771 is 513152234100.

2. How to calculate the LCM of 948, 675, 814, 276, 771?

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 948, 675, 814, 276, 771.

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}.