LCM of 625, 958, 160, 393, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 625, 958, 160, 393, 888 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 625, 958, 160, 393, 888. So, keep reading to learn more.
Given numbers are 625,958,160,393,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 625,958,160,393,888 is 139302780000.
Find LCM of 625,958,160,393,888 with Prime Factorization
| 2 | 625, 958, 160, 393, 888 |
| 2 | 625, 479, 80, 393, 444 |
| 2 | 625, 479, 40, 393, 222 |
| 3 | 625, 479, 20, 393, 111 |
| 5 | 625, 479, 20, 131, 37 |
| 125, 479, 4, 131, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 125 x 479 x 4 x 131 x 37 = 139302780000
Therefore, the lowest common multiple of 625,958,160,393,888 is 139302780000.
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.
625 x 958 x 160 x 393 x 888 = 33432667200000
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.
625 : 1, 5, 25, 125, 625
958 : 1, 2, 479, 958
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
393 : 1, 3, 131, 393
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,958,160,393,888, is 1.
Now, the common factors can be found like this.
625:5x 5x 5x 5
958:2x 479
160:2x 2x 2x 2x 2x 5
393:3x 131
888:2x 2x 2x 3x 37
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 33432667200000/(1x240)
LCM = 33432667200000/240
LCM = 139302780000
Thus, we can understand that the LCM of 625,958,160,393,888 is 139302780000.
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FAQs on LCM of 625, 958, 160, 393, 888
1. What is the LCM of 625, 958, 160, 393, 888?
Answer: LCM of 625, 958, 160, 393, 888 is 139302780000.
2. How to calculate the LCM of 625, 958, 160, 393, 888?
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 625, 958, 160, 393, 888.
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}.