LCM of 182, 298, 455, 332, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 298, 455, 332, 588 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 182, 298, 455, 332, 588. So, keep reading to learn more.
Given numbers are 182,298,455,332,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,298,455,332,588 is 472666740.
Find LCM of 182,298,455,332,588 with Prime Factorization
| 2 | 182, 298, 455, 332, 588 |
| 2 | 91, 149, 455, 166, 294 |
| 7 | 91, 149, 455, 83, 147 |
| 13 | 13, 149, 65, 83, 21 |
| 1, 149, 5, 83, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 1 x 149 x 5 x 83 x 21 = 472666740
Therefore, the lowest common multiple of 182,298,455,332,588 is 472666740.
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.
182 x 298 x 455 x 332 x 588 = 4817419414080
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
298 : 1, 2, 149, 298
455 : 1, 5, 7, 13, 35, 65, 91, 455
332 : 1, 2, 4, 83, 166, 332
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,298,455,332,588, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
298:2x 149
455:5x 7x 13
332:2x 2x 83
588:2x 2x 3x 7x 7
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 7x 7x 13 = 10192
Therefore, the value for common factors is 10192.
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 = 4817419414080/(1x10192)
LCM = 4817419414080/10192
LCM = 472666740
Thus, we can understand that the LCM of 182,298,455,332,588 is 472666740.
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FAQs on LCM of 182, 298, 455, 332, 588
1. What is the LCM of 182, 298, 455, 332, 588?
Answer: LCM of 182, 298, 455, 332, 588 is 472666740.
2. How to calculate the LCM of 182, 298, 455, 332, 588?
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 182, 298, 455, 332, 588.
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}.