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LCM of 311, 341, 839, 654, 688

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


Find the LCM of 311, 341, 839, 654, 688 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 311, 341, 839, 654, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,341,839,654,688

Given numbers are 311,341,839,654,688

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

The LCM of 311,341,839,654,688 is 20017642082064.

Find LCM of 311,341,839,654,688 with Prime Factorization


2 311, 341, 839, 654, 688
311, 341, 839, 327, 344

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

2 x 311 x 341 x 839 x 327 x 344 = 20017642082064

Therefore, the lowest common multiple of 311,341,839,654,688 is 20017642082064.

LCM Formula to Find Lowest Common Multiple of 311,341,839,654,688

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.

311 x 341 x 839 x 654 x 688 = 40035284164128

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.

311 : 1, 311

341 : 1, 11, 31, 341

839 : 1, 839

654 : 1, 2, 3, 6, 109, 218, 327, 654

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,341,839,654,688, is 1.

Now, the common factors can be found like this.

311:311

341:11x 31

839:839

654:2x 3x 109

688:2x 2x 2x 2x 43

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 = 40035284164128/(1x2)

LCM = 40035284164128/2

LCM = 20017642082064

Thus, we can understand that the LCM of 311,341,839,654,688 is 20017642082064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 341, 839, 654, 688

1. What is the LCM of 311, 341, 839, 654, 688?

Answer: LCM of 311, 341, 839, 654, 688 is 20017642082064.

2. How to calculate the LCM of 311, 341, 839, 654, 688?

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 311, 341, 839, 654, 688.

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}.