LCM of 969, 488, 408, 639, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 488, 408, 639, 900 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 969, 488, 408, 639, 900. So, keep reading to learn more.
Given numbers are 969,488,408,639,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,488,408,639,900 is 2518043400.
Find LCM of 969,488,408,639,900 with Prime Factorization
| 2 | 969, 488, 408, 639, 900 |
| 2 | 969, 244, 204, 639, 450 |
| 2 | 969, 122, 102, 639, 225 |
| 3 | 969, 61, 51, 639, 225 |
| 3 | 323, 61, 17, 213, 75 |
| 17 | 323, 61, 17, 71, 25 |
| 19, 61, 1, 71, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 17 x 19 x 61 x 1 x 71 x 25 = 2518043400
Therefore, the lowest common multiple of 969,488,408,639,900 is 2518043400.
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.
969 x 488 x 408 x 639 x 900 = 110955064377600
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
488 : 1, 2, 4, 8, 61, 122, 244, 488
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
639 : 1, 3, 9, 71, 213, 639
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,488,408,639,900, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
488:2x 2x 2x 61
408:2x 2x 2x 3x 17
639:3x 3x 71
900:2x 2x 3x 3x 5x 5
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 3x 3x 3x 3x 17 = 44064
Therefore, the value for common factors is 44064.
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 = 110955064377600/(1x44064)
LCM = 110955064377600/44064
LCM = 2518043400
Thus, we can understand that the LCM of 969,488,408,639,900 is 2518043400.
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FAQs on LCM of 969, 488, 408, 639, 900
1. What is the LCM of 969, 488, 408, 639, 900?
Answer: LCM of 969, 488, 408, 639, 900 is 2518043400.
2. How to calculate the LCM of 969, 488, 408, 639, 900?
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 969, 488, 408, 639, 900.
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}.