LCM of 249, 480, 820, 136, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 249, 480, 820, 136, 221 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 249, 480, 820, 136, 221. So, keep reading to learn more.
Given numbers are 249,480,820,136,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,480,820,136,221 is 360990240.
Find LCM of 249,480,820,136,221 with Prime Factorization
| 2 | 249, 480, 820, 136, 221 |
| 2 | 249, 240, 410, 68, 221 |
| 2 | 249, 120, 205, 34, 221 |
| 3 | 249, 60, 205, 17, 221 |
| 5 | 83, 20, 205, 17, 221 |
| 17 | 83, 4, 41, 17, 221 |
| 83, 4, 41, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 83 x 4 x 41 x 1 x 13 = 360990240
Therefore, the lowest common multiple of 249,480,820,136,221 is 360990240.
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.
249 x 480 x 820 x 136 x 221 = 2945680358400
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.
249 : 1, 3, 83, 249
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
136 : 1, 2, 4, 8, 17, 34, 68, 136
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,480,820,136,221, is 1.
Now, the common factors can be found like this.
249:3x 83
480:2x 2x 2x 2x 2x 3x 5
820:2x 2x 5x 41
136:2x 2x 2x 17
221:13x 17
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 5x 17 = 8160
Therefore, the value for common factors is 8160.
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 = 2945680358400/(1x8160)
LCM = 2945680358400/8160
LCM = 360990240
Thus, we can understand that the LCM of 249,480,820,136,221 is 360990240.
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FAQs on LCM of 249, 480, 820, 136, 221
1. What is the LCM of 249, 480, 820, 136, 221?
Answer: LCM of 249, 480, 820, 136, 221 is 360990240.
2. How to calculate the LCM of 249, 480, 820, 136, 221?
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 249, 480, 820, 136, 221.
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}.