Given numbers are 786,298,745,442

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

The LCM of 786,298,745,442 is 129410970.

Find LCM of 786,298,745,442 with Prime Factorization

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

2 x 149 x 393 x 1 x 5 x 221 = 129410970

Therefore, the lowest common multiple of 786,298,745,442 is 129410970.

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.

786 x 298 x 745 x 442 = 77128938120

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

298 : 1, 2, 149, 298

745 : 1, 5, 149, 745

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,298,745,442, is 1.

Now, the common factors can be found like this.

786:2x 3x 131

298:2x 149

745:5x 149

442:2x 13x 17

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 149 = 596

Therefore, the value for common factors is 596.

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 = 77128938120/(1x596)

LCM = 77128938120/596

LCM = 129410970

Thus, we can understand that the LCM of 786,298,745,442 is 129410970.

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

• LCM of 663, 290, 732, 293
• LCM of 650, 907, 995, 631
• LCM of 503, 730, 907, 121
• LCM of 261, 627, 514, 654
• LCM of 218, 245, 763, 426

1. What is the LCM of 786, 298, 745, 442?

Answer: LCM of 786, 298, 745, 442 is 129410970.

2. How to calculate the LCM of 786, 298, 745, 442?

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 786, 298, 745, 442.

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}.