LCM of 353, 113, 537, 791, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 113, 537, 791, 509 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 353, 113, 537, 791, 509. So, keep reading to learn more.
Given numbers are 353,113,537,791,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,113,537,791,509 is 76320860259.
Find LCM of 353,113,537,791,509 with Prime Factorization
| 113 | 353, 113, 537, 791, 509 |
| 353, 1, 537, 7, 509 |
Multiply the prime numbers at the bottom and the left side.
113 x 353 x 1 x 537 x 7 x 509 = 76320860259
Therefore, the lowest common multiple of 353,113,537,791,509 is 76320860259.
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.
353 x 113 x 537 x 791 x 509 = 8624257209267
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.
353 : 1, 353
113 : 1, 113
537 : 1, 3, 179, 537
791 : 1, 7, 113, 791
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,113,537,791,509, is 1.
Now, the common factors can be found like this.
353:353
113:113
537:3x 179
791:7x 113
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
113 = 113
Therefore, the value for common factors is 113.
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 = 8624257209267/(1x113)
LCM = 8624257209267/113
LCM = 76320860259
Thus, we can understand that the LCM of 353,113,537,791,509 is 76320860259.
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FAQs on LCM of 353, 113, 537, 791, 509
1. What is the LCM of 353, 113, 537, 791, 509?
Answer: LCM of 353, 113, 537, 791, 509 is 76320860259.
2. How to calculate the LCM of 353, 113, 537, 791, 509?
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 353, 113, 537, 791, 509.
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}.