LCM of 993, 869, 221, 520, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 869, 221, 520, 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 993, 869, 221, 520, 180. So, keep reading to learn more.
Given numbers are 993,869,221,520,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,869,221,520,180 is 22884558840.
Find LCM of 993,869,221,520,180 with Prime Factorization
| 2 | 993, 869, 221, 520, 180 |
| 2 | 993, 869, 221, 260, 90 |
| 3 | 993, 869, 221, 130, 45 |
| 5 | 331, 869, 221, 130, 15 |
| 13 | 331, 869, 221, 26, 3 |
| 331, 869, 17, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 331 x 869 x 17 x 2 x 3 = 22884558840
Therefore, the lowest common multiple of 993,869,221,520,180 is 22884558840.
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.
993 x 869 x 221 x 520 x 180 = 17849955895200
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.
993 : 1, 3, 331, 993
869 : 1, 11, 79, 869
221 : 1, 13, 17, 221
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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 993,869,221,520,180, is 1.
Now, the common factors can be found like this.
993:3x 331
869:11x 79
221:13x 17
520:2x 2x 2x 5x 13
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 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 17849955895200/(1x780)
LCM = 17849955895200/780
LCM = 22884558840
Thus, we can understand that the LCM of 993,869,221,520,180 is 22884558840.
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FAQs on LCM of 993, 869, 221, 520, 180
1. What is the LCM of 993, 869, 221, 520, 180?
Answer: LCM of 993, 869, 221, 520, 180 is 22884558840.
2. How to calculate the LCM of 993, 869, 221, 520, 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 993, 869, 221, 520, 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}.