Given numbers are 579,393,414,746

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

The LCM of 579,393,414,746 is 3904251426.

Find LCM of 579,393,414,746 with Prime Factorization

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

2 x 3 x 193 x 131 x 69 x 373 = 3904251426

Therefore, the lowest common multiple of 579,393,414,746 is 3904251426.

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.

579 x 393 x 414 x 746 = 70276525668

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.

579 : 1, 3, 193, 579

393 : 1, 3, 131, 393

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

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,393,414,746, is 1.

Now, the common factors can be found like this.

579:3x 193

393:3x 131

414:2x 3x 3x 23

746:2x 373

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 70276525668/(1x18)

LCM = 70276525668/18

LCM = 3904251426

Thus, we can understand that the LCM of 579,393,414,746 is 3904251426.

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

• LCM of 782, 574, 504, 405
• LCM of 244, 410, 375, 289
• LCM of 691, 749, 793, 457
• LCM of 150, 154, 302, 779
• LCM of 219, 931, 504, 134

1. What is the LCM of 579, 393, 414, 746?

Answer: LCM of 579, 393, 414, 746 is 3904251426.

2. How to calculate the LCM of 579, 393, 414, 746?

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 579, 393, 414, 746.

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}.