LCM of 188, 520, 944, 295, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 520, 944, 295, 107 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 188, 520, 944, 295, 107. So, keep reading to learn more.
Given numbers are 188,520,944,295,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,520,944,295,107 is 308579440.
Find LCM of 188,520,944,295,107 with Prime Factorization
| 2 | 188, 520, 944, 295, 107 |
| 2 | 94, 260, 472, 295, 107 |
| 2 | 47, 130, 236, 295, 107 |
| 5 | 47, 65, 118, 295, 107 |
| 59 | 47, 13, 118, 59, 107 |
| 47, 13, 2, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 59 x 47 x 13 x 2 x 1 x 107 = 308579440
Therefore, the lowest common multiple of 188,520,944,295,107 is 308579440.
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.
188 x 520 x 944 x 295 x 107 = 2912989913600
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.
188 : 1, 2, 4, 47, 94, 188
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
295 : 1, 5, 59, 295
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,520,944,295,107, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
520:2x 2x 2x 5x 13
944:2x 2x 2x 2x 59
295:5x 59
107:107
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 2x 5x 59 = 9440
Therefore, the value for common factors is 9440.
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 = 2912989913600/(1x9440)
LCM = 2912989913600/9440
LCM = 308579440
Thus, we can understand that the LCM of 188,520,944,295,107 is 308579440.
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FAQs on LCM of 188, 520, 944, 295, 107
1. What is the LCM of 188, 520, 944, 295, 107?
Answer: LCM of 188, 520, 944, 295, 107 is 308579440.
2. How to calculate the LCM of 188, 520, 944, 295, 107?
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 188, 520, 944, 295, 107.
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}.