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LCM of 111, 564, 540, 384, 523

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


Find the LCM of 111, 564, 540, 384, 523 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 111, 564, 540, 384, 523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 111,564,540,384,523

Given numbers are 111,564,540,384,523

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

The LCM of 111,564,540,384,523 is 15716108160.

Find LCM of 111,564,540,384,523 with Prime Factorization


2 111, 564, 540, 384, 523
2 111, 282, 270, 192, 523
3 111, 141, 135, 96, 523
37, 47, 45, 32, 523

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

2 x 2 x 3 x 37 x 47 x 45 x 32 x 523 = 15716108160

Therefore, the lowest common multiple of 111,564,540,384,523 is 15716108160.

LCM Formula to Find Lowest Common Multiple of 111,564,540,384,523

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.

111 x 564 x 540 x 384 x 523 = 6789358725120

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.

111 : 1, 3, 37, 111

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,564,540,384,523, is 1.

Now, the common factors can be found like this.

111:3x 37

564:2x 2x 3x 47

540:2x 2x 3x 3x 3x 5

384:2x 2x 2x 2x 2x 2x 2x 3

523:523

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 2x 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 6789358725120/(1x432)

LCM = 6789358725120/432

LCM = 15716108160

Thus, we can understand that the LCM of 111,564,540,384,523 is 15716108160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 111, 564, 540, 384, 523

1. What is the LCM of 111, 564, 540, 384, 523?

Answer: LCM of 111, 564, 540, 384, 523 is 15716108160.

2. How to calculate the LCM of 111, 564, 540, 384, 523?

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 111, 564, 540, 384, 523.

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}.