LCM of 111, 153, 902, 354, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 153, 902, 354, 288 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 111, 153, 902, 354, 288. So, keep reading to learn more.
Given numbers are 111,153,902,354,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,153,902,354,288 is 4820273568.
Find LCM of 111,153,902,354,288 with Prime Factorization
| 2 | 111, 153, 902, 354, 288 |
| 3 | 111, 153, 451, 177, 144 |
| 3 | 37, 51, 451, 59, 48 |
| 37, 17, 451, 59, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 37 x 17 x 451 x 59 x 16 = 4820273568
Therefore, the lowest common multiple of 111,153,902,354,288 is 4820273568.
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.
111 x 153 x 902 x 354 x 288 = 1561768636032
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.
111 : 1, 3, 37, 111
153 : 1, 3, 9, 17, 51, 153
902 : 1, 2, 11, 22, 41, 82, 451, 902
354 : 1, 2, 3, 6, 59, 118, 177, 354
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,153,902,354,288, is 1.
Now, the common factors can be found like this.
111:3x 37
153:3x 3x 17
902:2x 11x 41
354:2x 3x 59
288:2x 2x 2x 2x 2x 3x 3
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 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 1561768636032/(1x324)
LCM = 1561768636032/324
LCM = 4820273568
Thus, we can understand that the LCM of 111,153,902,354,288 is 4820273568.
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FAQs on LCM of 111, 153, 902, 354, 288
1. What is the LCM of 111, 153, 902, 354, 288?
Answer: LCM of 111, 153, 902, 354, 288 is 4820273568.
2. How to calculate the LCM of 111, 153, 902, 354, 288?
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 111, 153, 902, 354, 288.
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}.