LCM of 89, 69, 51, 51, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 89, 69, 51, 51, 314 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 89, 69, 51, 51, 314. So, keep reading to learn more.
Given numbers are 89,69,51,51,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 89,69,51,51,314 is 32780658.
Find LCM of 89,69,51,51,314 with Prime Factorization
| 3 | 89, 69, 51, 51, 314 |
| 17 | 89, 23, 17, 17, 314 |
| 89, 23, 1, 1, 314 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 89 x 23 x 1 x 1 x 314 = 32780658
Therefore, the lowest common multiple of 89,69,51,51,314 is 32780658.
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.
89 x 69 x 51 x 51 x 314 = 5015440674
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.
89 : 1, 89
69 : 1, 3, 23, 69
51 : 1, 3, 17, 51
51 : 1, 3, 17, 51
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 89,69,51,51,314, is 1.
Now, the common factors can be found like this.
89:89
69:3x 23
51:3x 17
51:3x 17
314:2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 5015440674/(1x153)
LCM = 5015440674/153
LCM = 32780658
Thus, we can understand that the LCM of 89,69,51,51,314 is 32780658.
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FAQs on LCM of 89, 69, 51, 51, 314
1. What is the LCM of 89, 69, 51, 51, 314?
Answer: LCM of 89, 69, 51, 51, 314 is 32780658.
2. How to calculate the LCM of 89, 69, 51, 51, 314?
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 89, 69, 51, 51, 314.
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}.