LCM of 621, 458, 827, 722, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 458, 827, 722, 513 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 621, 458, 827, 722, 513. So, keep reading to learn more.
Given numbers are 621,458,827,722,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,458,827,722,513 is 84912140646.
Find LCM of 621,458,827,722,513 with Prime Factorization
| 2 | 621, 458, 827, 722, 513 |
| 3 | 621, 229, 827, 361, 513 |
| 3 | 207, 229, 827, 361, 171 |
| 3 | 69, 229, 827, 361, 57 |
| 19 | 23, 229, 827, 361, 19 |
| 23, 229, 827, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 19 x 23 x 229 x 827 x 1 x 19 = 84912140646
Therefore, the lowest common multiple of 621,458,827,722,513 is 84912140646.
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.
621 x 458 x 827 x 722 x 513 = 87119856302796
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
458 : 1, 2, 229, 458
827 : 1, 827
722 : 1, 2, 19, 38, 361, 722
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,458,827,722,513, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
458:2x 229
827:827
722:2x 19x 19
513:3x 3x 3x 19
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 19 = 1026
Therefore, the value for common factors is 1026.
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 = 87119856302796/(1x1026)
LCM = 87119856302796/1026
LCM = 84912140646
Thus, we can understand that the LCM of 621,458,827,722,513 is 84912140646.
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FAQs on LCM of 621, 458, 827, 722, 513
1. What is the LCM of 621, 458, 827, 722, 513?
Answer: LCM of 621, 458, 827, 722, 513 is 84912140646.
2. How to calculate the LCM of 621, 458, 827, 722, 513?
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 621, 458, 827, 722, 513.
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}.