LCM of 100, 221, 261, 585, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 100, 221, 261, 585, 316 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 100, 221, 261, 585, 316. So, keep reading to learn more.
Given numbers are 100,221,261,585,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,221,261,585,316 is 455679900.
Find LCM of 100,221,261,585,316 with Prime Factorization
| 2 | 100, 221, 261, 585, 316 |
| 2 | 50, 221, 261, 585, 158 |
| 3 | 25, 221, 261, 585, 79 |
| 3 | 25, 221, 87, 195, 79 |
| 5 | 25, 221, 29, 65, 79 |
| 13 | 5, 221, 29, 13, 79 |
| 5, 17, 29, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 5 x 17 x 29 x 1 x 79 = 455679900
Therefore, the lowest common multiple of 100,221,261,585,316 is 455679900.
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.
100 x 221 x 261 x 585 x 316 = 1066290966000
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
221 : 1, 13, 17, 221
261 : 1, 3, 9, 29, 87, 261
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,221,261,585,316, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
221:13x 17
261:3x 3x 29
585:3x 3x 5x 13
316:2x 2x 79
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 5x 13 = 2340
Therefore, the value for common factors is 2340.
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 = 1066290966000/(1x2340)
LCM = 1066290966000/2340
LCM = 455679900
Thus, we can understand that the LCM of 100,221,261,585,316 is 455679900.
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FAQs on LCM of 100, 221, 261, 585, 316
1. What is the LCM of 100, 221, 261, 585, 316?
Answer: LCM of 100, 221, 261, 585, 316 is 455679900.
2. How to calculate the LCM of 100, 221, 261, 585, 316?
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 100, 221, 261, 585, 316.
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}.