Given numbers are 746,414,790

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

The LCM of 746,414,790 is 60996690.

Find LCM of 746,414,790 with Prime Factorization

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

2 x 373 x 207 x 395 = 60996690

Therefore, the lowest common multiple of 746,414,790 is 60996690.

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.

746 x 414 x 790 = 243986760

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.

746 : 1, 2, 373, 746

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,414,790, is 2.

Now, the common factors can be found like this.

746:2x 373

414:2x 3x 3x 23

790:2x 5x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 243986760/(2x2)

LCM = 243986760/4

LCM = 60996690

Thus, we can understand that the LCM of 746,414,790 is 60996690.

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

• LCM of 775, 110, 265
• LCM of 406, 805, 480
• LCM of 625, 416, 495
• LCM of 768, 701, 562
• LCM of 783, 717, 237

1. What is the LCM of 746, 414, 790?

Answer: LCM of 746, 414, 790 is 60996690.

2. How to calculate the LCM of 746, 414, 790?

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 746, 414, 790.

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}.