LCM of 527, 493, 991, 326, 163
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 493, 991, 326, 163 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 527, 493, 991, 326, 163. So, keep reading to learn more.
Given numbers are 527,493,991,326,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,493,991,326,163 is 4937417678.
Find LCM of 527,493,991,326,163 with Prime Factorization
| 17 | 527, 493, 991, 326, 163 |
| 163 | 31, 29, 991, 326, 163 |
| 31, 29, 991, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 163 x 31 x 29 x 991 x 2 x 1 = 4937417678
Therefore, the lowest common multiple of 527,493,991,326,163 is 4937417678.
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.
527 x 493 x 991 x 326 x 163 = 13681584385738
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.
527 : 1, 17, 31, 527
493 : 1, 17, 29, 493
991 : 1, 991
326 : 1, 2, 163, 326
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,493,991,326,163, is 1.
Now, the common factors can be found like this.
527:17x 31
493:17x 29
991:991
326:2x 163
163:163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 163 = 2771
Therefore, the value for common factors is 2771.
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 = 13681584385738/(1x2771)
LCM = 13681584385738/2771
LCM = 4937417678
Thus, we can understand that the LCM of 527,493,991,326,163 is 4937417678.
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FAQs on LCM of 527, 493, 991, 326, 163
1. What is the LCM of 527, 493, 991, 326, 163?
Answer: LCM of 527, 493, 991, 326, 163 is 4937417678.
2. How to calculate the LCM of 527, 493, 991, 326, 163?
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 527, 493, 991, 326, 163.
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}.