LCM of 101, 968, 228, 704, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 968, 228, 704, 209 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 101, 968, 228, 704, 209. So, keep reading to learn more.
Given numbers are 101,968,228,704,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,968,228,704,209 is 44582208.
Find LCM of 101,968,228,704,209 with Prime Factorization
| 2 | 101, 968, 228, 704, 209 |
| 2 | 101, 484, 114, 352, 209 |
| 2 | 101, 242, 57, 176, 209 |
| 11 | 101, 121, 57, 88, 209 |
| 19 | 101, 11, 57, 8, 19 |
| 101, 11, 3, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 19 x 101 x 11 x 3 x 8 x 1 = 44582208
Therefore, the lowest common multiple of 101,968,228,704,209 is 44582208.
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.
101 x 968 x 228 x 704 x 209 = 3279823878144
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.
101 : 1, 101
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,968,228,704,209, is 1.
Now, the common factors can be found like this.
101:101
968:2x 2x 2x 11x 11
228:2x 2x 3x 19
704:2x 2x 2x 2x 2x 2x 11
209:11x 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 2x 2x 11x 11x 19 = 73568
Therefore, the value for common factors is 73568.
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 = 3279823878144/(1x73568)
LCM = 3279823878144/73568
LCM = 44582208
Thus, we can understand that the LCM of 101,968,228,704,209 is 44582208.
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FAQs on LCM of 101, 968, 228, 704, 209
1. What is the LCM of 101, 968, 228, 704, 209?
Answer: LCM of 101, 968, 228, 704, 209 is 44582208.
2. How to calculate the LCM of 101, 968, 228, 704, 209?
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 101, 968, 228, 704, 209.
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}.