Given numbers are 414,785,646,740

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

The LCM of 414,785,646,740 is 7767910980.

Find LCM of 414,785,646,740 with Prime Factorization

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

2 x 5 x 207 x 157 x 323 x 74 = 7767910980

Therefore, the lowest common multiple of 414,785,646,740 is 7767910980.

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 785 x 646 x 740 = 155358219600

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

785 : 1, 5, 157, 785

646 : 1, 2, 17, 19, 34, 38, 323, 646

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,785,646,740, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

785:5x 157

646:2x 17x 19

740:2x 2x 5x 37

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 5 = 20

Therefore, the value for common factors is 20.

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 = 155358219600/(1x20)

LCM = 155358219600/20

LCM = 7767910980

Thus, we can understand that the LCM of 414,785,646,740 is 7767910980.

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

• LCM of 463, 150, 788, 730
• LCM of 733, 899, 939, 872
• LCM of 167, 238, 322, 601
• LCM of 480, 423, 916, 138
• LCM of 250, 558, 290, 606

1. What is the LCM of 414, 785, 646, 740?

Answer: LCM of 414, 785, 646, 740 is 7767910980.

2. How to calculate the LCM of 414, 785, 646, 740?

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, 785, 646, 740.

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}.