LCM of 969, 870, 108, 154, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 870, 108, 154, 711 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, 870, 108, 154, 711. So, keep reading to learn more.
Given numbers are 969,870,108,154,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,870,108,154,711 is 30768908940.
Find LCM of 969,870,108,154,711 with Prime Factorization
| 2 | 969, 870, 108, 154, 711 |
| 3 | 969, 435, 54, 77, 711 |
| 3 | 323, 145, 18, 77, 237 |
| 323, 145, 6, 77, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 323 x 145 x 6 x 77 x 79 = 30768908940
Therefore, the lowest common multiple of 969,870,108,154,711 is 30768908940.
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 870 x 108 x 154 x 711 = 9969126496560
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
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
154 : 1, 2, 7, 11, 14, 22, 77, 154
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,870,108,154,711, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
870:2x 3x 5x 29
108:2x 2x 3x 3x 3
154:2x 7x 11
711:3x 3x 79
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 = 9969126496560/(1x324)
LCM = 9969126496560/324
LCM = 30768908940
Thus, we can understand that the LCM of 969,870,108,154,711 is 30768908940.
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FAQs on LCM of 969, 870, 108, 154, 711
1. What is the LCM of 969, 870, 108, 154, 711?
Answer: LCM of 969, 870, 108, 154, 711 is 30768908940.
2. How to calculate the LCM of 969, 870, 108, 154, 711?
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, 870, 108, 154, 711.
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}.