LCM of 516, 263, 722, 741, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 516, 263, 722, 741, 900 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 516, 263, 722, 741, 900. So, keep reading to learn more.
Given numbers are 516,263,722,741,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,263,722,741,900 is 47765823300.
Find LCM of 516,263,722,741,900 with Prime Factorization
| 2 | 516, 263, 722, 741, 900 |
| 2 | 258, 263, 361, 741, 450 |
| 3 | 129, 263, 361, 741, 225 |
| 19 | 43, 263, 361, 247, 75 |
| 43, 263, 19, 13, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 43 x 263 x 19 x 13 x 75 = 47765823300
Therefore, the lowest common multiple of 516,263,722,741,900 is 47765823300.
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.
516 x 263 x 722 x 741 x 900 = 65343646274400
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.
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
263 : 1, 263
722 : 1, 2, 19, 38, 361, 722
741 : 1, 3, 13, 19, 39, 57, 247, 741
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,263,722,741,900, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
263:263
722:2x 19x 19
741:3x 13x 19
900:2x 2x 3x 3x 5x 5
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 65343646274400/(1x1368)
LCM = 65343646274400/1368
LCM = 47765823300
Thus, we can understand that the LCM of 516,263,722,741,900 is 47765823300.
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FAQs on LCM of 516, 263, 722, 741, 900
1. What is the LCM of 516, 263, 722, 741, 900?
Answer: LCM of 516, 263, 722, 741, 900 is 47765823300.
2. How to calculate the LCM of 516, 263, 722, 741, 900?
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 516, 263, 722, 741, 900.
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}.