LCM of 597, 913, 715, 546, 898
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 913, 715, 546, 898 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 597, 913, 715, 546, 898. So, keep reading to learn more.
Given numbers are 597,913,715,546,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,913,715,546,898 is 222706473990.
Find LCM of 597,913,715,546,898 with Prime Factorization
| 2 | 597, 913, 715, 546, 898 |
| 3 | 597, 913, 715, 273, 449 |
| 11 | 199, 913, 715, 91, 449 |
| 13 | 199, 83, 65, 91, 449 |
| 199, 83, 5, 7, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 199 x 83 x 5 x 7 x 449 = 222706473990
Therefore, the lowest common multiple of 597,913,715,546,898 is 222706473990.
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.
597 x 913 x 715 x 546 x 898 = 191082154683420
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.
597 : 1, 3, 199, 597
913 : 1, 11, 83, 913
715 : 1, 5, 11, 13, 55, 65, 143, 715
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,913,715,546,898, is 1.
Now, the common factors can be found like this.
597:3x 199
913:11x 83
715:5x 11x 13
546:2x 3x 7x 13
898:2x 449
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 11x 13 = 858
Therefore, the value for common factors is 858.
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 = 191082154683420/(1x858)
LCM = 191082154683420/858
LCM = 222706473990
Thus, we can understand that the LCM of 597,913,715,546,898 is 222706473990.
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FAQs on LCM of 597, 913, 715, 546, 898
1. What is the LCM of 597, 913, 715, 546, 898?
Answer: LCM of 597, 913, 715, 546, 898 is 222706473990.
2. How to calculate the LCM of 597, 913, 715, 546, 898?
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 597, 913, 715, 546, 898.
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}.