Given numbers are 414,406,745,745

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

The LCM of 414,406,745,745 is 62611290.

Find LCM of 414,406,745,745 with Prime Factorization

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

2 x 5 x 149 x 207 x 203 x 1 x 1 = 62611290

Therefore, the lowest common multiple of 414,406,745,745 is 62611290.

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 406 x 745 x 745 = 93290822100

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

745 : 1, 5, 149, 745

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,406,745,745, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

406:2x 7x 29

745:5x 149

745:5x 149

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

2x 5x 149 = 1490

Therefore, the value for common factors is 1490.

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 = 93290822100/(1x1490)

LCM = 93290822100/1490

LCM = 62611290

Thus, we can understand that the LCM of 414,406,745,745 is 62611290.

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

• LCM of 227, 810, 727, 997
• LCM of 255, 381, 707, 517
• LCM of 756, 976, 381, 823
• LCM of 976, 109, 181, 443
• LCM of 916, 152, 562, 978

1. What is the LCM of 414, 406, 745, 745?

Answer: LCM of 414, 406, 745, 745 is 62611290.

2. How to calculate the LCM of 414, 406, 745, 745?

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, 406, 745, 745.

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}.