Given numbers are 713,245,679,414,298

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

The LCM of 713,245,679,414,298 is 45445001490.

Find LCM of 713,245,679,414,298 with Prime Factorization

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

2 x 7 x 23 x 31 x 35 x 97 x 9 x 149 = 45445001490

Therefore, the lowest common multiple of 713,245,679,414,298 is 45445001490.

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.

713 x 245 x 679 x 414 x 298 = 14633290479780

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.

713 : 1, 23, 31, 713

245 : 1, 5, 7, 35, 49, 245

679 : 1, 7, 97, 679

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

298 : 1, 2, 149, 298

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,245,679,414,298, is 1.

Now, the common factors can be found like this.

713:23x 31

245:5x 7x 7

679:7x 97

414:2x 3x 3x 23

298:2x 149

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

2x 7x 23 = 322

Therefore, the value for common factors is 322.

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 = 14633290479780/(1x322)

LCM = 14633290479780/322

LCM = 45445001490

Thus, we can understand that the LCM of 713,245,679,414,298 is 45445001490.

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

• LCM of 653, 324, 300, 281, 733
• LCM of 699, 776, 769, 838, 856
• LCM of 180, 810, 463, 826, 432
• LCM of 947, 999, 681, 897, 437
• LCM of 416, 944, 993, 951, 832

1. What is the LCM of 713, 245, 679, 414, 298?

Answer: LCM of 713, 245, 679, 414, 298 is 45445001490.

2. How to calculate the LCM of 713, 245, 679, 414, 298?

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 713, 245, 679, 414, 298.

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}.