LCM of 901, 840, 963, 508, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 840, 963, 508, 162 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 901, 840, 963, 508, 162. So, keep reading to learn more.
Given numbers are 901,840,963,508,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,840,963,508,162 is 277686866520.
Find LCM of 901,840,963,508,162 with Prime Factorization
| 2 | 901, 840, 963, 508, 162 |
| 2 | 901, 420, 963, 254, 81 |
| 3 | 901, 210, 963, 127, 81 |
| 3 | 901, 70, 321, 127, 27 |
| 901, 70, 107, 127, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 901 x 70 x 107 x 127 x 9 = 277686866520
Therefore, the lowest common multiple of 901,840,963,508,162 is 277686866520.
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.
901 x 840 x 963 x 508 x 162 = 59980363168320
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.
901 : 1, 17, 53, 901
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
963 : 1, 3, 9, 107, 321, 963
508 : 1, 2, 4, 127, 254, 508
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,840,963,508,162, is 1.
Now, the common factors can be found like this.
901:17x 53
840:2x 2x 2x 3x 5x 7
963:3x 3x 107
508:2x 2x 127
162:2x 3x 3x 3x 3
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 59980363168320/(1x216)
LCM = 59980363168320/216
LCM = 277686866520
Thus, we can understand that the LCM of 901,840,963,508,162 is 277686866520.
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FAQs on LCM of 901, 840, 963, 508, 162
1. What is the LCM of 901, 840, 963, 508, 162?
Answer: LCM of 901, 840, 963, 508, 162 is 277686866520.
2. How to calculate the LCM of 901, 840, 963, 508, 162?
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 901, 840, 963, 508, 162.
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}.