LCM of 221, 226, 252, 951, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 226, 252, 951, 988 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 221, 226, 252, 951, 988. So, keep reading to learn more.
Given numbers are 221,226,252,951,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,226,252,951,988 is 37903919508.
Find LCM of 221,226,252,951,988 with Prime Factorization
| 2 | 221, 226, 252, 951, 988 |
| 2 | 221, 113, 126, 951, 494 |
| 3 | 221, 113, 63, 951, 247 |
| 13 | 221, 113, 21, 317, 247 |
| 17, 113, 21, 317, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 113 x 21 x 317 x 19 = 37903919508
Therefore, the lowest common multiple of 221,226,252,951,988 is 37903919508.
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.
221 x 226 x 252 x 951 x 988 = 11826022886496
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.
221 : 1, 13, 17, 221
226 : 1, 2, 113, 226
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
951 : 1, 3, 317, 951
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,226,252,951,988, is 1.
Now, the common factors can be found like this.
221:13x 17
226:2x 113
252:2x 2x 3x 3x 7
951:3x 317
988:2x 2x 13x 19
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 11826022886496/(1x312)
LCM = 11826022886496/312
LCM = 37903919508
Thus, we can understand that the LCM of 221,226,252,951,988 is 37903919508.
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FAQs on LCM of 221, 226, 252, 951, 988
1. What is the LCM of 221, 226, 252, 951, 988?
Answer: LCM of 221, 226, 252, 951, 988 is 37903919508.
2. How to calculate the LCM of 221, 226, 252, 951, 988?
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 221, 226, 252, 951, 988.
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}.