LCM of 505, 504, 128, 191, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 504, 128, 191, 994 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 505, 504, 128, 191, 994. So, keep reading to learn more.
Given numbers are 505,504,128,191,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,504,128,191,994 is 55224731520.
Find LCM of 505,504,128,191,994 with Prime Factorization
| 2 | 505, 504, 128, 191, 994 |
| 2 | 505, 252, 64, 191, 497 |
| 2 | 505, 126, 32, 191, 497 |
| 7 | 505, 63, 16, 191, 497 |
| 505, 9, 16, 191, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 505 x 9 x 16 x 191 x 71 = 55224731520
Therefore, the lowest common multiple of 505,504,128,191,994 is 55224731520.
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.
505 x 504 x 128 x 191 x 994 = 6185169930240
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.
505 : 1, 5, 101, 505
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
128 : 1, 2, 4, 8, 16, 32, 64, 128
191 : 1, 191
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,504,128,191,994, is 1.
Now, the common factors can be found like this.
505:5x 101
504:2x 2x 2x 3x 3x 7
128:2x 2x 2x 2x 2x 2x 2
191:191
994:2x 7x 71
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 7 = 112
Therefore, the value for common factors is 112.
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 = 6185169930240/(1x112)
LCM = 6185169930240/112
LCM = 55224731520
Thus, we can understand that the LCM of 505,504,128,191,994 is 55224731520.
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FAQs on LCM of 505, 504, 128, 191, 994
1. What is the LCM of 505, 504, 128, 191, 994?
Answer: LCM of 505, 504, 128, 191, 994 is 55224731520.
2. How to calculate the LCM of 505, 504, 128, 191, 994?
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 505, 504, 128, 191, 994.
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}.