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LCM of 320, 687, 614, 905, 543

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


Find the LCM of 320, 687, 614, 905, 543 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 320, 687, 614, 905, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 320,687,614,905,543

Given numbers are 320,687,614,905,543

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

The LCM of 320,687,614,905,543 is 12215849280.

Find LCM of 320,687,614,905,543 with Prime Factorization


2 320, 687, 614, 905, 543
3 160, 687, 307, 905, 543
5 160, 229, 307, 905, 181
181 32, 229, 307, 181, 181
32, 229, 307, 1, 1

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

2 x 3 x 5 x 181 x 32 x 229 x 307 x 1 x 1 = 12215849280

Therefore, the lowest common multiple of 320,687,614,905,543 is 12215849280.

LCM Formula to Find Lowest Common Multiple of 320,687,614,905,543

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.

320 x 687 x 614 x 905 x 543 = 66332061590400

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.

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

687 : 1, 3, 229, 687

614 : 1, 2, 307, 614

905 : 1, 5, 181, 905

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,687,614,905,543, is 1.

Now, the common factors can be found like this.

320:2x 2x 2x 2x 2x 2x 5

687:3x 229

614:2x 307

905:5x 181

543:3x 181

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

2x 3x 5x 181 = 5430

Therefore, the value for common factors is 5430.

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 = 66332061590400/(1x5430)

LCM = 66332061590400/5430

LCM = 12215849280

Thus, we can understand that the LCM of 320,687,614,905,543 is 12215849280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 320, 687, 614, 905, 543

1. What is the LCM of 320, 687, 614, 905, 543?

Answer: LCM of 320, 687, 614, 905, 543 is 12215849280.

2. How to calculate the LCM of 320, 687, 614, 905, 543?

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 320, 687, 614, 905, 543.

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}.