Given numbers are 414,199,725,242

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

The LCM of 414,199,725,242 is 7227311850.

Find LCM of 414,199,725,242 with Prime Factorization

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

2 x 207 x 199 x 725 x 121 = 7227311850

Therefore, the lowest common multiple of 414,199,725,242 is 7227311850.

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 199 x 725 x 242 = 14454623700

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

199 : 1, 199

725 : 1, 5, 25, 29, 145, 725

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,199,725,242, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

199:199

725:5x 5x 29

242:2x 11x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14454623700/(1x2)

LCM = 14454623700/2

LCM = 7227311850

Thus, we can understand that the LCM of 414,199,725,242 is 7227311850.

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

• LCM of 565, 178, 445, 122
• LCM of 699, 333, 651, 598
• LCM of 745, 131, 755, 121
• LCM of 672, 524, 513, 219
• LCM of 630, 664, 576, 241

1. What is the LCM of 414, 199, 725, 242?

Answer: LCM of 414, 199, 725, 242 is 7227311850.

2. How to calculate the LCM of 414, 199, 725, 242?

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, 199, 725, 242.

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}.