Given numbers are 678,258,514,414

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

The LCM of 678,258,514,414 is 516987882.

Find LCM of 678,258,514,414 with Prime Factorization

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

2 x 3 x 113 x 43 x 257 x 69 = 516987882

Therefore, the lowest common multiple of 678,258,514,414 is 516987882.

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 258 x 514 x 414 = 37223127504

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

514 : 1, 2, 257, 514

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,258,514,414, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

258:2x 3x 43

514:2x 257

414:2x 3x 3x 23

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 3 = 36

Therefore, the value for common factors is 36.

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 = 37223127504/(2x36)

LCM = 37223127504/72

LCM = 516987882

Thus, we can understand that the LCM of 678,258,514,414 is 516987882.

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

• LCM of 780, 360, 572, 920
• LCM of 882, 282, 760, 229
• LCM of 158, 325, 265, 398
• LCM of 480, 196, 232, 883
• LCM of 972, 578, 517, 587

1. What is the LCM of 678, 258, 514, 414?

Answer: LCM of 678, 258, 514, 414 is 516987882.

2. How to calculate the LCM of 678, 258, 514, 414?

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, 258, 514, 414.

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}.