LCM of 348, 965, 588, 289, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 965, 588, 289, 182 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 348, 965, 588, 289, 182. So, keep reading to learn more.
Given numbers are 348,965,588,289,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,965,588,289,182 is 61822111260.
Find LCM of 348,965,588,289,182 with Prime Factorization
| 2 | 348, 965, 588, 289, 182 |
| 2 | 174, 965, 294, 289, 91 |
| 3 | 87, 965, 147, 289, 91 |
| 7 | 29, 965, 49, 289, 91 |
| 29, 965, 7, 289, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 29 x 965 x 7 x 289 x 13 = 61822111260
Therefore, the lowest common multiple of 348,965,588,289,182 is 61822111260.
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.
348 x 965 x 588 x 289 x 182 = 10386114691680
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
965 : 1, 5, 193, 965
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
289 : 1, 17, 289
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,965,588,289,182, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
965:5x 193
588:2x 2x 3x 7x 7
289:17x 17
182:2x 7x 13
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 10386114691680/(1x168)
LCM = 10386114691680/168
LCM = 61822111260
Thus, we can understand that the LCM of 348,965,588,289,182 is 61822111260.
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FAQs on LCM of 348, 965, 588, 289, 182
1. What is the LCM of 348, 965, 588, 289, 182?
Answer: LCM of 348, 965, 588, 289, 182 is 61822111260.
2. How to calculate the LCM of 348, 965, 588, 289, 182?
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 348, 965, 588, 289, 182.
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}.