LCM of 596, 905, 988, 598, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 905, 988, 598, 791 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 596, 905, 988, 598, 791. So, keep reading to learn more.
Given numbers are 596,905,988,598,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,905,988,598,791 is 2423796263980.
Find LCM of 596,905,988,598,791 with Prime Factorization
| 2 | 596, 905, 988, 598, 791 |
| 2 | 298, 905, 494, 299, 791 |
| 13 | 149, 905, 247, 299, 791 |
| 149, 905, 19, 23, 791 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 149 x 905 x 19 x 23 x 791 = 2423796263980
Therefore, the lowest common multiple of 596,905,988,598,791 is 2423796263980.
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.
596 x 905 x 988 x 598 x 791 = 252074811453920
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.
596 : 1, 2, 4, 149, 298, 596
905 : 1, 5, 181, 905
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
598 : 1, 2, 13, 23, 26, 46, 299, 598
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,905,988,598,791, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
905:5x 181
988:2x 2x 13x 19
598:2x 13x 23
791:7x 113
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 13 = 104
Therefore, the value for common factors is 104.
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 = 252074811453920/(1x104)
LCM = 252074811453920/104
LCM = 2423796263980
Thus, we can understand that the LCM of 596,905,988,598,791 is 2423796263980.
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FAQs on LCM of 596, 905, 988, 598, 791
1. What is the LCM of 596, 905, 988, 598, 791?
Answer: LCM of 596, 905, 988, 598, 791 is 2423796263980.
2. How to calculate the LCM of 596, 905, 988, 598, 791?
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 596, 905, 988, 598, 791.
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}.