Given numbers are 240,189,349,930,170

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

The LCM of 240,189,349,930,170 is 2780915760.

Find LCM of 240,189,349,930,170 with Prime Factorization

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

2 x 3 x 5 x 8 x 63 x 349 x 31 x 17 = 2780915760

Therefore, the lowest common multiple of 240,189,349,930,170 is 2780915760.

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.

240 x 189 x 349 x 930 x 170 = 2502824184000

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

189 : 1, 3, 7, 9, 21, 27, 63, 189

349 : 1, 349

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 240,189,349,930,170, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

189:3x 3x 3x 7

349:349

930:2x 3x 5x 31

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 2x 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 2502824184000/(1x900)

LCM = 2502824184000/900

LCM = 2780915760

Thus, we can understand that the LCM of 240,189,349,930,170 is 2780915760.

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

• LCM of 175, 827, 833, 661, 633
• LCM of 213, 172, 857, 442, 546
• LCM of 428, 467, 193, 905, 467
• LCM of 136, 655, 328, 720, 486
• LCM of 716, 278, 882, 304, 327

1. What is the LCM of 240, 189, 349, 930, 170?

Answer: LCM of 240, 189, 349, 930, 170 is 2780915760.

2. How to calculate the LCM of 240, 189, 349, 930, 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 240, 189, 349, 930, 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}.