LCM of 505, 163, 441, 985, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 163, 441, 985, 756 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, 163, 441, 985, 756. So, keep reading to learn more.
Given numbers are 505,163,441,985,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,163,441,985,756 is 85815363060.
Find LCM of 505,163,441,985,756 with Prime Factorization
| 3 | 505, 163, 441, 985, 756 |
| 3 | 505, 163, 147, 985, 252 |
| 5 | 505, 163, 49, 985, 84 |
| 7 | 101, 163, 49, 197, 84 |
| 101, 163, 7, 197, 12 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 101 x 163 x 7 x 197 x 12 = 85815363060
Therefore, the lowest common multiple of 505,163,441,985,756 is 85815363060.
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 163 x 441 x 985 x 756 = 27031839363900
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
163 : 1, 163
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
985 : 1, 5, 197, 985
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,163,441,985,756, is 1.
Now, the common factors can be found like this.
505:5x 101
163:163
441:3x 3x 7x 7
985:5x 197
756:2x 2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 27031839363900/(1x315)
LCM = 27031839363900/315
LCM = 85815363060
Thus, we can understand that the LCM of 505,163,441,985,756 is 85815363060.
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FAQs on LCM of 505, 163, 441, 985, 756
1. What is the LCM of 505, 163, 441, 985, 756?
Answer: LCM of 505, 163, 441, 985, 756 is 85815363060.
2. How to calculate the LCM of 505, 163, 441, 985, 756?
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, 163, 441, 985, 756.
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}.