LCM of 845, 945, 963, 741, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 945, 963, 741, 416 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 845, 945, 963, 741, 416. So, keep reading to learn more.
Given numbers are 845,945,963,741,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,945,963,741,416 is 10389768480.
Find LCM of 845,945,963,741,416 with Prime Factorization
| 3 | 845, 945, 963, 741, 416 |
| 3 | 845, 315, 321, 247, 416 |
| 5 | 845, 105, 107, 247, 416 |
| 13 | 169, 21, 107, 247, 416 |
| 13, 21, 107, 19, 32 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 13 x 21 x 107 x 19 x 32 = 10389768480
Therefore, the lowest common multiple of 845,945,963,741,416 is 10389768480.
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.
845 x 945 x 963 x 741 x 416 = 237042567871200
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.
845 : 1, 5, 13, 65, 169, 845
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
963 : 1, 3, 9, 107, 321, 963
741 : 1, 3, 13, 19, 39, 57, 247, 741
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,945,963,741,416, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
945:3x 3x 3x 5x 7
963:3x 3x 107
741:3x 13x 19
416:2x 2x 2x 2x 2x 13
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 3x 5x 13x 13 = 22815
Therefore, the value for common factors is 22815.
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 = 237042567871200/(1x22815)
LCM = 237042567871200/22815
LCM = 10389768480
Thus, we can understand that the LCM of 845,945,963,741,416 is 10389768480.
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FAQs on LCM of 845, 945, 963, 741, 416
1. What is the LCM of 845, 945, 963, 741, 416?
Answer: LCM of 845, 945, 963, 741, 416 is 10389768480.
2. How to calculate the LCM of 845, 945, 963, 741, 416?
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 845, 945, 963, 741, 416.
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}.