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LCM of 389, 527, 319, 406

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


Find the LCM of 389, 527, 319, 406 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 389, 527, 319, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 389,527,319,406

Given numbers are 389,527,319,406

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

The LCM of 389,527,319,406 is 915543398.

Find LCM of 389,527,319,406 with Prime Factorization


29 389, 527, 319, 406
389, 527, 11, 14

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

29 x 389 x 527 x 11 x 14 = 915543398

Therefore, the lowest common multiple of 389,527,319,406 is 915543398.

LCM Formula to Find Lowest Common Multiple of 389,527,319,406

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.

389 x 527 x 319 x 406 = 26550758542

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.

389 : 1, 389

527 : 1, 17, 31, 527

319 : 1, 11, 29, 319

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,527,319,406, is 1.

Now, the common factors can be found like this.

389:389

527:17x 31

319:11x 29

406:2x 7x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 26550758542/(1x29)

LCM = 26550758542/29

LCM = 915543398

Thus, we can understand that the LCM of 389,527,319,406 is 915543398.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 389, 527, 319, 406

1. What is the LCM of 389, 527, 319, 406?

Answer: LCM of 389, 527, 319, 406 is 915543398.

2. How to calculate the LCM of 389, 527, 319, 406?

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 389, 527, 319, 406.

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}.