LCM of 617, 729, 729, 964, 958
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 617, 729, 729, 964, 958 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 617, 729, 729, 964, 958. So, keep reading to learn more.
Given numbers are 617,729,729,964,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 617,729,729,964,958 is 207694616508.
Find LCM of 617,729,729,964,958 with Prime Factorization
| 2 | 617, 729, 729, 964, 958 |
| 3 | 617, 729, 729, 482, 479 |
| 3 | 617, 243, 243, 482, 479 |
| 3 | 617, 81, 81, 482, 479 |
| 3 | 617, 27, 27, 482, 479 |
| 3 | 617, 9, 9, 482, 479 |
| 3 | 617, 3, 3, 482, 479 |
| 617, 1, 1, 482, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 3 x 3 x 617 x 1 x 1 x 482 x 479 = 207694616508
Therefore, the lowest common multiple of 617,729,729,964,958 is 207694616508.
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.
617 x 729 x 729 x 964 x 958 = 302818750868664
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.
617 : 1, 617
729 : 1, 3, 9, 27, 81, 243, 729
729 : 1, 3, 9, 27, 81, 243, 729
964 : 1, 2, 4, 241, 482, 964
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,729,729,964,958, is 1.
Now, the common factors can be found like this.
617:617
729:3x 3x 3x 3x 3x 3
729:3x 3x 3x 3x 3x 3
964:2x 2x 241
958:2x 479
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 3 = 1458
Therefore, the value for common factors is 1458.
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 = 302818750868664/(1x1458)
LCM = 302818750868664/1458
LCM = 207694616508
Thus, we can understand that the LCM of 617,729,729,964,958 is 207694616508.
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FAQs on LCM of 617, 729, 729, 964, 958
1. What is the LCM of 617, 729, 729, 964, 958?
Answer: LCM of 617, 729, 729, 964, 958 is 207694616508.
2. How to calculate the LCM of 617, 729, 729, 964, 958?
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 617, 729, 729, 964, 958.
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}.