LCM of 105, 160, 902, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 160, 902, 880 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 105, 160, 902, 880. So, keep reading to learn more.
Given numbers are 105,160,902,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,160,902,880 is 1515360.
Find LCM of 105,160,902,880 with Prime Factorization
| 2 | 105, 160, 902, 880 |
| 2 | 105, 80, 451, 440 |
| 2 | 105, 40, 451, 220 |
| 2 | 105, 20, 451, 110 |
| 5 | 105, 10, 451, 55 |
| 11 | 21, 2, 451, 11 |
| 21, 2, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 21 x 2 x 41 x 1 = 1515360
Therefore, the lowest common multiple of 105,160,902,880 is 1515360.
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.
105 x 160 x 902 x 880 = 13335168000
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
902 : 1, 2, 11, 22, 41, 82, 451, 902
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,160,902,880, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
160:2x 2x 2x 2x 2x 5
902:2x 11x 41
880:2x 2x 2x 2x 5x 11
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 5x 5x 11 = 8800
Therefore, the value for common factors is 8800.
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 = 13335168000/(1x8800)
LCM = 13335168000/8800
LCM = 1515360
Thus, we can understand that the LCM of 105,160,902,880 is 1515360.
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FAQs on LCM of 105, 160, 902, 880
1. What is the LCM of 105, 160, 902, 880?
Answer: LCM of 105, 160, 902, 880 is 1515360.
2. How to calculate the LCM of 105, 160, 902, 880?
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 105, 160, 902, 880.
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}.