LCM of 174, 504, 916, 969, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 504, 916, 969, 376 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 174, 504, 916, 969, 376. So, keep reading to learn more.
Given numbers are 174,504,916,969,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,504,916,969,376 is 50811778584.
Find LCM of 174,504,916,969,376 with Prime Factorization
| 2 | 174, 504, 916, 969, 376 |
| 2 | 87, 252, 458, 969, 188 |
| 2 | 87, 126, 229, 969, 94 |
| 3 | 87, 63, 229, 969, 47 |
| 29, 21, 229, 323, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 21 x 229 x 323 x 47 = 50811778584
Therefore, the lowest common multiple of 174,504,916,969,376 is 50811778584.
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.
174 x 504 x 916 x 969 x 376 = 29267584464384
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
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
916 : 1, 2, 4, 229, 458, 916
969 : 1, 3, 17, 19, 51, 57, 323, 969
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,504,916,969,376, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
504:2x 2x 2x 3x 3x 7
916:2x 2x 229
969:3x 17x 19
376:2x 2x 2x 47
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 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 29267584464384/(1x576)
LCM = 29267584464384/576
LCM = 50811778584
Thus, we can understand that the LCM of 174,504,916,969,376 is 50811778584.
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FAQs on LCM of 174, 504, 916, 969, 376
1. What is the LCM of 174, 504, 916, 969, 376?
Answer: LCM of 174, 504, 916, 969, 376 is 50811778584.
2. How to calculate the LCM of 174, 504, 916, 969, 376?
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 174, 504, 916, 969, 376.
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}.