Given numbers are 247,414,145,170

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

The LCM of 247,414,145,170 is 252065970.

Find LCM of 247,414,145,170 with Prime Factorization

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

2 x 5 x 247 x 207 x 29 x 17 = 252065970

Therefore, the lowest common multiple of 247,414,145,170 is 252065970.

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.

247 x 414 x 145 x 170 = 2520659700

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.

247 : 1, 13, 19, 247

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

145 : 1, 5, 29, 145

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,414,145,170, is 1.

Now, the common factors can be found like this.

247:13x 19

414:2x 3x 3x 23

145:5x 29

170:2x 5x 17

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 = 2520659700/(1x10)

LCM = 2520659700/10

LCM = 252065970

Thus, we can understand that the LCM of 247,414,145,170 is 252065970.

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

• LCM of 593, 642, 650, 819
• LCM of 559, 786, 444, 785
• LCM of 827, 142, 912, 567
• LCM of 979, 367, 711, 956
• LCM of 634, 168, 628, 276

1. What is the LCM of 247, 414, 145, 170?

Answer: LCM of 247, 414, 145, 170 is 252065970.

2. How to calculate the LCM of 247, 414, 145, 170?

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 247, 414, 145, 170.

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}.