LCM of 626, 480, 400, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 480, 400, 516 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 626, 480, 400, 516. So, keep reading to learn more.
Given numbers are 626,480,400,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,480,400,516 is 32301600.
Find LCM of 626,480,400,516 with Prime Factorization
| 2 | 626, 480, 400, 516 |
| 2 | 313, 240, 200, 258 |
| 2 | 313, 120, 100, 129 |
| 2 | 313, 60, 50, 129 |
| 3 | 313, 30, 25, 129 |
| 5 | 313, 10, 25, 43 |
| 313, 2, 5, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 313 x 2 x 5 x 43 = 32301600
Therefore, the lowest common multiple of 626,480,400,516 is 32301600.
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.
626 x 480 x 400 x 516 = 62019072000
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.
626 : 1, 2, 313, 626
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,480,400,516, is 2.
Now, the common factors can be found like this.
626:2x 313
480:2x 2x 2x 2x 2x 3x 5
400:2x 2x 2x 2x 5x 5
516:2x 2x 3x 43
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 2x 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 62019072000/(2x960)
LCM = 62019072000/1920
LCM = 32301600
Thus, we can understand that the LCM of 626,480,400,516 is 32301600.
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FAQs on LCM of 626, 480, 400, 516
1. What is the LCM of 626, 480, 400, 516?
Answer: LCM of 626, 480, 400, 516 is 32301600.
2. How to calculate the LCM of 626, 480, 400, 516?
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 626, 480, 400, 516.
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}.