LCM of 626, 949, 520, 273, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 949, 520, 273, 856 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, 949, 520, 273, 856. So, keep reading to learn more.
Given numbers are 626,949,520,273,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,949,520,273,856 is 26697685560.
Find LCM of 626,949,520,273,856 with Prime Factorization
| 2 | 626, 949, 520, 273, 856 |
| 2 | 313, 949, 260, 273, 428 |
| 2 | 313, 949, 130, 273, 214 |
| 13 | 313, 949, 65, 273, 107 |
| 313, 73, 5, 21, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 313 x 73 x 5 x 21 x 107 = 26697685560
Therefore, the lowest common multiple of 626,949,520,273,856 is 26697685560.
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 949 x 520 x 273 x 856 = 72190541754240
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
949 : 1, 13, 73, 949
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
273 : 1, 3, 7, 13, 21, 39, 91, 273
856 : 1, 2, 4, 8, 107, 214, 428, 856
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,949,520,273,856, is 1.
Now, the common factors can be found like this.
626:2x 313
949:13x 73
520:2x 2x 2x 5x 13
273:3x 7x 13
856:2x 2x 2x 107
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 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 72190541754240/(1x2704)
LCM = 72190541754240/2704
LCM = 26697685560
Thus, we can understand that the LCM of 626,949,520,273,856 is 26697685560.
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FAQs on LCM of 626, 949, 520, 273, 856
1. What is the LCM of 626, 949, 520, 273, 856?
Answer: LCM of 626, 949, 520, 273, 856 is 26697685560.
2. How to calculate the LCM of 626, 949, 520, 273, 856?
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, 949, 520, 273, 856.
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}.