LCM of 125, 576, 588, 709, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 125, 576, 588, 709, 656 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 125, 576, 588, 709, 656. So, keep reading to learn more.
Given numbers are 125,576,588,709,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,576,588,709,656 is 102555432000.
Find LCM of 125,576,588,709,656 with Prime Factorization
| 2 | 125, 576, 588, 709, 656 |
| 2 | 125, 288, 294, 709, 328 |
| 2 | 125, 144, 147, 709, 164 |
| 2 | 125, 72, 147, 709, 82 |
| 3 | 125, 36, 147, 709, 41 |
| 125, 12, 49, 709, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 125 x 12 x 49 x 709 x 41 = 102555432000
Therefore, the lowest common multiple of 125,576,588,709,656 is 102555432000.
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.
125 x 576 x 588 x 709 x 656 = 19690642944000
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.
125 : 1, 5, 25, 125
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
709 : 1, 709
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,576,588,709,656, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
576:2x 2x 2x 2x 2x 2x 3x 3
588:2x 2x 3x 7x 7
709:709
656:2x 2x 2x 2x 41
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 19690642944000/(1x192)
LCM = 19690642944000/192
LCM = 102555432000
Thus, we can understand that the LCM of 125,576,588,709,656 is 102555432000.
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FAQs on LCM of 125, 576, 588, 709, 656
1. What is the LCM of 125, 576, 588, 709, 656?
Answer: LCM of 125, 576, 588, 709, 656 is 102555432000.
2. How to calculate the LCM of 125, 576, 588, 709, 656?
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 125, 576, 588, 709, 656.
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}.