LCM of 969, 178, 629, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 178, 629, 214 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, 178, 629, 214. So, keep reading to learn more.
Given numbers are 969,178,629,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,178,629,214 is 682856238.
Find LCM of 969,178,629,214 with Prime Factorization
| 2 | 969, 178, 629, 214 |
| 17 | 969, 89, 629, 107 |
| 57, 89, 37, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 57 x 89 x 37 x 107 = 682856238
Therefore, the lowest common multiple of 969,178,629,214 is 682856238.
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 178 x 629 x 214 = 23217112092
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
178 : 1, 2, 89, 178
629 : 1, 17, 37, 629
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,178,629,214, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
178:2x 89
629:17x 37
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 23217112092/(1x34)
LCM = 23217112092/34
LCM = 682856238
Thus, we can understand that the LCM of 969,178,629,214 is 682856238.
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FAQs on LCM of 969, 178, 629, 214
1. What is the LCM of 969, 178, 629, 214?
Answer: LCM of 969, 178, 629, 214 is 682856238.
2. How to calculate the LCM of 969, 178, 629, 214?
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, 178, 629, 214.
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}.