LCM of 902, 331, 285, 408, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 331, 285, 408, 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 902, 331, 285, 408, 221. So, keep reading to learn more.
Given numbers are 902,331,285,408,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,331,285,408,221 is 75219710280.
Find LCM of 902,331,285,408,221 with Prime Factorization
| 2 | 902, 331, 285, 408, 221 |
| 3 | 451, 331, 285, 204, 221 |
| 17 | 451, 331, 95, 68, 221 |
| 451, 331, 95, 4, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 451 x 331 x 95 x 4 x 13 = 75219710280
Therefore, the lowest common multiple of 902,331,285,408,221 is 75219710280.
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.
902 x 331 x 285 x 408 x 221 = 7672410448560
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
331 : 1, 331
285 : 1, 3, 5, 15, 19, 57, 95, 285
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,331,285,408,221, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
331:331
285:3x 5x 19
408:2x 2x 2x 3x 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 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 7672410448560/(1x102)
LCM = 7672410448560/102
LCM = 75219710280
Thus, we can understand that the LCM of 902,331,285,408,221 is 75219710280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 331, 285, 408, 221
1. What is the LCM of 902, 331, 285, 408, 221?
Answer: LCM of 902, 331, 285, 408, 221 is 75219710280.
2. How to calculate the LCM of 902, 331, 285, 408, 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 902, 331, 285, 408, 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}.