LCM of 220, 561, 204, 596, 362
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 561, 204, 596, 362 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 220, 561, 204, 596, 362. So, keep reading to learn more.
Given numbers are 220,561,204,596,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,561,204,596,362 is 302592180.
Find LCM of 220,561,204,596,362 with Prime Factorization
| 2 | 220, 561, 204, 596, 362 |
| 2 | 110, 561, 102, 298, 181 |
| 3 | 55, 561, 51, 149, 181 |
| 11 | 55, 187, 17, 149, 181 |
| 17 | 5, 17, 17, 149, 181 |
| 5, 1, 1, 149, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 5 x 1 x 1 x 149 x 181 = 302592180
Therefore, the lowest common multiple of 220,561,204,596,362 is 302592180.
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.
220 x 561 x 204 x 596 x 362 = 5432134815360
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
561 : 1, 3, 11, 17, 33, 51, 187, 561
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
596 : 1, 2, 4, 149, 298, 596
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,561,204,596,362, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
561:3x 11x 17
204:2x 2x 3x 17
596:2x 2x 149
362:2x 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 2x 2x 2x 2x 3x 11x 17 = 17952
Therefore, the value for common factors is 17952.
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 = 5432134815360/(1x17952)
LCM = 5432134815360/17952
LCM = 302592180
Thus, we can understand that the LCM of 220,561,204,596,362 is 302592180.
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FAQs on LCM of 220, 561, 204, 596, 362
1. What is the LCM of 220, 561, 204, 596, 362?
Answer: LCM of 220, 561, 204, 596, 362 is 302592180.
2. How to calculate the LCM of 220, 561, 204, 596, 362?
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 220, 561, 204, 596, 362.
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}.