LCM of 714, 183, 576, 244, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 183, 576, 244, 591 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 714, 183, 576, 244, 591. So, keep reading to learn more.
Given numbers are 714,183,576,244,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,183,576,244,591 is 823693248.
Find LCM of 714,183,576,244,591 with Prime Factorization
| 2 | 714, 183, 576, 244, 591 |
| 2 | 357, 183, 288, 122, 591 |
| 3 | 357, 183, 144, 61, 591 |
| 61 | 119, 61, 48, 61, 197 |
| 119, 1, 48, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 119 x 1 x 48 x 1 x 197 = 823693248
Therefore, the lowest common multiple of 714,183,576,244,591 is 823693248.
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.
714 x 183 x 576 x 244 x 591 = 10852982235648
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
183 : 1, 3, 61, 183
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
244 : 1, 2, 4, 61, 122, 244
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,183,576,244,591, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
183:3x 61
576:2x 2x 2x 2x 2x 2x 3x 3
244:2x 2x 61
591:3x 197
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 3x 3x 61 = 13176
Therefore, the value for common factors is 13176.
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 = 10852982235648/(1x13176)
LCM = 10852982235648/13176
LCM = 823693248
Thus, we can understand that the LCM of 714,183,576,244,591 is 823693248.
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FAQs on LCM of 714, 183, 576, 244, 591
1. What is the LCM of 714, 183, 576, 244, 591?
Answer: LCM of 714, 183, 576, 244, 591 is 823693248.
2. How to calculate the LCM of 714, 183, 576, 244, 591?
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 714, 183, 576, 244, 591.
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}.