LCM of 626, 405, 502, 452, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 405, 502, 452, 225 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, 405, 502, 452, 225. So, keep reading to learn more.
Given numbers are 626,405,502,452,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,405,502,452,225 is 71908713900.
Find LCM of 626,405,502,452,225 with Prime Factorization
| 2 | 626, 405, 502, 452, 225 |
| 3 | 313, 405, 251, 226, 225 |
| 3 | 313, 135, 251, 226, 75 |
| 5 | 313, 45, 251, 226, 25 |
| 313, 9, 251, 226, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 313 x 9 x 251 x 226 x 5 = 71908713900
Therefore, the lowest common multiple of 626,405,502,452,225 is 71908713900.
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 405 x 502 x 452 x 225 = 12943568502000
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
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
502 : 1, 2, 251, 502
452 : 1, 2, 4, 113, 226, 452
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,405,502,452,225, is 1.
Now, the common factors can be found like this.
626:2x 313
405:3x 3x 3x 3x 5
502:2x 251
452:2x 2x 113
225:3x 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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 12943568502000/(1x180)
LCM = 12943568502000/180
LCM = 71908713900
Thus, we can understand that the LCM of 626,405,502,452,225 is 71908713900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 626, 405, 502, 452, 225
1. What is the LCM of 626, 405, 502, 452, 225?
Answer: LCM of 626, 405, 502, 452, 225 is 71908713900.
2. How to calculate the LCM of 626, 405, 502, 452, 225?
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, 405, 502, 452, 225.
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}.