Given numbers are 414,565,749,470

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

The LCM of 414,565,749,470 is 8234333730.

Find LCM of 414,565,749,470 with Prime Factorization

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

2 x 5 x 207 x 113 x 749 x 47 = 8234333730

Therefore, the lowest common multiple of 414,565,749,470 is 8234333730.

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.

414 x 565 x 749 x 470 = 82343337300

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.

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

565 : 1, 5, 113, 565

749 : 1, 7, 107, 749

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,565,749,470, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

565:5x 113

749:7x 107

470:2x 5x 47

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 82343337300/(1x10)

LCM = 82343337300/10

LCM = 8234333730

Thus, we can understand that the LCM of 414,565,749,470 is 8234333730.

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

• LCM of 829, 725, 239, 556
• LCM of 443, 588, 844, 855
• LCM of 384, 543, 573, 434
• LCM of 841, 876, 636, 825
• LCM of 532, 932, 348, 530

1. What is the LCM of 414, 565, 749, 470?

Answer: LCM of 414, 565, 749, 470 is 8234333730.

2. How to calculate the LCM of 414, 565, 749, 470?

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 414, 565, 749, 470.

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}.