LCM of 376, 913, 928, 957, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 913, 928, 957, 175 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 376, 913, 928, 957, 175. So, keep reading to learn more.
Given numbers are 376,913,928,957,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,913,928,957,175 is 20906239200.
Find LCM of 376,913,928,957,175 with Prime Factorization
| 2 | 376, 913, 928, 957, 175 |
| 2 | 188, 913, 464, 957, 175 |
| 2 | 94, 913, 232, 957, 175 |
| 11 | 47, 913, 116, 957, 175 |
| 29 | 47, 83, 116, 87, 175 |
| 47, 83, 4, 3, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 29 x 47 x 83 x 4 x 3 x 175 = 20906239200
Therefore, the lowest common multiple of 376,913,928,957,175 is 20906239200.
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.
376 x 913 x 928 x 957 x 175 = 53352722438400
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
913 : 1, 11, 83, 913
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
957 : 1, 3, 11, 29, 33, 87, 319, 957
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,913,928,957,175, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
913:11x 83
928:2x 2x 2x 2x 2x 29
957:3x 11x 29
175:5x 5x 7
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 11x 29 = 2552
Therefore, the value for common factors is 2552.
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 = 53352722438400/(1x2552)
LCM = 53352722438400/2552
LCM = 20906239200
Thus, we can understand that the LCM of 376,913,928,957,175 is 20906239200.
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FAQs on LCM of 376, 913, 928, 957, 175
1. What is the LCM of 376, 913, 928, 957, 175?
Answer: LCM of 376, 913, 928, 957, 175 is 20906239200.
2. How to calculate the LCM of 376, 913, 928, 957, 175?
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 376, 913, 928, 957, 175.
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}.