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LCM of 693, 579, 503, 840, 180

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


Find the LCM of 693, 579, 503, 840, 180 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 693, 579, 503, 840, 180. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 693,579,503,840,180

Given numbers are 693,579,503,840,180

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

The LCM of 693,579,503,840,180 is 2691029880.

Find LCM of 693,579,503,840,180 with Prime Factorization


2 693, 579, 503, 840, 180
2 693, 579, 503, 420, 90
3 693, 579, 503, 210, 45
3 231, 193, 503, 70, 15
5 77, 193, 503, 70, 5
7 77, 193, 503, 14, 1
11, 193, 503, 2, 1

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

2 x 2 x 3 x 3 x 5 x 7 x 11 x 193 x 503 x 2 x 1 = 2691029880

Therefore, the lowest common multiple of 693,579,503,840,180 is 2691029880.

LCM Formula to Find Lowest Common Multiple of 693,579,503,840,180

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.

693 x 579 x 503 x 840 x 180 = 30516278839200

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.

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

579 : 1, 3, 193, 579

503 : 1, 503

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,579,503,840,180, is 1.

Now, the common factors can be found like this.

693:3x 3x 7x 11

579:3x 193

503:503

840:2x 2x 2x 3x 5x 7

180:2x 2x 3x 3x 5

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 3x 3x 3x 3x 5x 7 = 11340

Therefore, the value for common factors is 11340.

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 = 30516278839200/(1x11340)

LCM = 30516278839200/11340

LCM = 2691029880

Thus, we can understand that the LCM of 693,579,503,840,180 is 2691029880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 693, 579, 503, 840, 180

1. What is the LCM of 693, 579, 503, 840, 180?

Answer: LCM of 693, 579, 503, 840, 180 is 2691029880.

2. How to calculate the LCM of 693, 579, 503, 840, 180?

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 693, 579, 503, 840, 180.

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}.