LCM of 376, 758, 365, 504, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 758, 365, 504, 174 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, 758, 365, 504, 174. So, keep reading to learn more.
Given numbers are 376,758,365,504,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,758,365,504,174 is 95029504920.
Find LCM of 376,758,365,504,174 with Prime Factorization
| 2 | 376, 758, 365, 504, 174 |
| 2 | 188, 379, 365, 252, 87 |
| 2 | 94, 379, 365, 126, 87 |
| 3 | 47, 379, 365, 63, 87 |
| 47, 379, 365, 21, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 47 x 379 x 365 x 21 x 29 = 95029504920
Therefore, the lowest common multiple of 376,758,365,504,174 is 95029504920.
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 758 x 365 x 504 x 174 = 9122832472320
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
758 : 1, 2, 379, 758
365 : 1, 5, 73, 365
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,758,365,504,174, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
758:2x 379
365:5x 73
504:2x 2x 2x 3x 3x 7
174:2x 3x 29
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 3 = 96
Therefore, the value for common factors is 96.
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 = 9122832472320/(1x96)
LCM = 9122832472320/96
LCM = 95029504920
Thus, we can understand that the LCM of 376,758,365,504,174 is 95029504920.
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FAQs on LCM of 376, 758, 365, 504, 174
1. What is the LCM of 376, 758, 365, 504, 174?
Answer: LCM of 376, 758, 365, 504, 174 is 95029504920.
2. How to calculate the LCM of 376, 758, 365, 504, 174?
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, 758, 365, 504, 174.
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}.