LCM of 314, 132, 598, 182, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 132, 598, 182, 184 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 314, 132, 598, 182, 184. So, keep reading to learn more.
Given numbers are 314,132,598,182,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,132,598,182,184 is 86750664.
Find LCM of 314,132,598,182,184 with Prime Factorization
| 2 | 314, 132, 598, 182, 184 |
| 2 | 157, 66, 299, 91, 92 |
| 13 | 157, 33, 299, 91, 46 |
| 23 | 157, 33, 23, 7, 46 |
| 157, 33, 1, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 157 x 33 x 1 x 7 x 2 = 86750664
Therefore, the lowest common multiple of 314,132,598,182,184 is 86750664.
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.
314 x 132 x 598 x 182 x 184 = 830030353152
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.
314 : 1, 2, 157, 314
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
598 : 1, 2, 13, 23, 26, 46, 299, 598
182 : 1, 2, 7, 13, 14, 26, 91, 182
184 : 1, 2, 4, 8, 23, 46, 92, 184
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,132,598,182,184, is 2.
Now, the common factors can be found like this.
314:2x 157
132:2x 2x 3x 11
598:2x 13x 23
182:2x 7x 13
184:2x 2x 2x 23
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 2x 13x 23 = 4784
Therefore, the value for common factors is 4784.
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 = 830030353152/(2x4784)
LCM = 830030353152/9568
LCM = 86750664
Thus, we can understand that the LCM of 314,132,598,182,184 is 86750664.
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FAQs on LCM of 314, 132, 598, 182, 184
1. What is the LCM of 314, 132, 598, 182, 184?
Answer: LCM of 314, 132, 598, 182, 184 is 86750664.
2. How to calculate the LCM of 314, 132, 598, 182, 184?
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 314, 132, 598, 182, 184.
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}.