LCM of 969, 646, 361, 160, 215
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 646, 361, 160, 215 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, 646, 361, 160, 215. So, keep reading to learn more.
Given numbers are 969,646,361,160,215
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,646,361,160,215 is 126667680.
Find LCM of 969,646,361,160,215 with Prime Factorization
| 2 | 969, 646, 361, 160, 215 |
| 5 | 969, 323, 361, 80, 215 |
| 17 | 969, 323, 361, 16, 43 |
| 19 | 57, 19, 361, 16, 43 |
| 3, 1, 19, 16, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 19 x 3 x 1 x 19 x 16 x 43 = 126667680
Therefore, the lowest common multiple of 969,646,361,160,215 is 126667680.
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 646 x 361 x 160 x 215 = 7773595521600
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
361 : 1, 19, 361
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
215 : 1, 5, 43, 215
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,646,361,160,215, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
646:2x 17x 19
361:19x 19
160:2x 2x 2x 2x 2x 5
215:5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17x 19x 19 = 61370
Therefore, the value for common factors is 61370.
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 = 7773595521600/(1x61370)
LCM = 7773595521600/61370
LCM = 126667680
Thus, we can understand that the LCM of 969,646,361,160,215 is 126667680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 646, 361, 160, 215
1. What is the LCM of 969, 646, 361, 160, 215?
Answer: LCM of 969, 646, 361, 160, 215 is 126667680.
2. How to calculate the LCM of 969, 646, 361, 160, 215?
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, 646, 361, 160, 215.
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}.