Given numbers are 678,276,789,286,471

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

The LCM of 678,276,789,286,471 is 184153070244.

Find LCM of 678,276,789,286,471 with Prime Factorization

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

2 x 3 x 113 x 46 x 263 x 143 x 157 = 184153070244

Therefore, the lowest common multiple of 678,276,789,286,471 is 184153070244.

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.

678 x 276 x 789 x 286 x 471 = 19888531586352

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

789 : 1, 3, 263, 789

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

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,276,789,286,471, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

276:2x 2x 3x 23

789:3x 263

286:2x 11x 13

471:3x 157

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 19888531586352/(1x108)

LCM = 19888531586352/108

LCM = 184153070244

Thus, we can understand that the LCM of 678,276,789,286,471 is 184153070244.

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

• LCM of 490, 628, 855, 760, 652
• LCM of 570, 632, 586, 119, 172
• LCM of 368, 444, 685, 651, 733
• LCM of 771, 836, 426, 327, 670
• LCM of 783, 171, 598, 380, 156

1. What is the LCM of 678, 276, 789, 286, 471?

Answer: LCM of 678, 276, 789, 286, 471 is 184153070244.

2. How to calculate the LCM of 678, 276, 789, 286, 471?

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 678, 276, 789, 286, 471.

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}.