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LCM of 393, 399, 714, 849, 331

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 393, 399, 714, 849, 331 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 393, 399, 714, 849, 331. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 393,399,714,849,331

Given numbers are 393,399,714,849,331

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

The LCM of 393,399,714,849,331 is 166470597258.

Find LCM of 393,399,714,849,331 with Prime Factorization


3 393, 399, 714, 849, 331
7 131, 133, 238, 283, 331
131, 19, 34, 283, 331

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

3 x 7 x 131 x 19 x 34 x 283 x 331 = 166470597258

Therefore, the lowest common multiple of 393,399,714,849,331 is 166470597258.

LCM Formula to Find Lowest Common Multiple of 393,399,714,849,331

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.

393 x 399 x 714 x 849 x 331 = 31462942881762

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.

393 : 1, 3, 131, 393

399 : 1, 3, 7, 19, 21, 57, 133, 399

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

849 : 1, 3, 283, 849

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,399,714,849,331, is 1.

Now, the common factors can be found like this.

393:3x 131

399:3x 7x 19

714:2x 3x 7x 17

849:3x 283

331:331

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

3x 3x 3x 7 = 189

Therefore, the value for common factors is 189.

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 = 31462942881762/(1x189)

LCM = 31462942881762/189

LCM = 166470597258

Thus, we can understand that the LCM of 393,399,714,849,331 is 166470597258.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 393, 399, 714, 849, 331

1. What is the LCM of 393, 399, 714, 849, 331?

Answer: LCM of 393, 399, 714, 849, 331 is 166470597258.

2. How to calculate the LCM of 393, 399, 714, 849, 331?

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 393, 399, 714, 849, 331.

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}.