Given numbers are 614,258,715,676

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

The LCM of 614,258,715,676 is 1472439540.

Find LCM of 614,258,715,676 with Prime Factorization

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

2 x 13 x 307 x 129 x 55 x 26 = 1472439540

Therefore, the lowest common multiple of 614,258,715,676 is 1472439540.

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.

614 x 258 x 715 x 676 = 76566856080

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.

614 : 1, 2, 307, 614

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,258,715,676, is 1.

Now, the common factors can be found like this.

614:2x 307

258:2x 3x 43

715:5x 11x 13

676:2x 2x 13x 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 13 = 52

Therefore, the value for common factors is 52.

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 = 76566856080/(1x52)

LCM = 76566856080/52

LCM = 1472439540

Thus, we can understand that the LCM of 614,258,715,676 is 1472439540.

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

• LCM of 940, 357, 567, 844
• LCM of 820, 574, 443, 488
• LCM of 874, 702, 777, 452
• LCM of 448, 915, 821, 520
• LCM of 982, 121, 189, 192

1. What is the LCM of 614, 258, 715, 676?

Answer: LCM of 614, 258, 715, 676 is 1472439540.

2. How to calculate the LCM of 614, 258, 715, 676?

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 614, 258, 715, 676.

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}.