Given numbers are 404,746,654,414

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

The LCM of 404,746,654,414 is 3400063596.

Find LCM of 404,746,654,414 with Prime Factorization

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

2 x 3 x 202 x 373 x 109 x 69 = 3400063596

Therefore, the lowest common multiple of 404,746,654,414 is 3400063596.

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.

404 x 746 x 654 x 414 = 81601526304

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.

404 : 1, 2, 4, 101, 202, 404

746 : 1, 2, 373, 746

654 : 1, 2, 3, 6, 109, 218, 327, 654

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,746,654,414, is 2.

Now, the common factors can be found like this.

404:2x 2x 101

746:2x 373

654:2x 3x 109

414:2x 3x 3x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 81601526304/(2x12)

LCM = 81601526304/24

LCM = 3400063596

Thus, we can understand that the LCM of 404,746,654,414 is 3400063596.

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

• LCM of 119, 542, 710, 881
• LCM of 992, 726, 632, 647
• LCM of 288, 547, 805, 478
• LCM of 229, 297, 639, 761
• LCM of 420, 902, 835, 258

1. What is the LCM of 404, 746, 654, 414?

Answer: LCM of 404, 746, 654, 414 is 3400063596.

2. How to calculate the LCM of 404, 746, 654, 414?

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 404, 746, 654, 414.

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}.