LCM of 947, 962, 897, 806, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 947, 962, 897, 806, 240 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 947, 962, 897, 806, 240. So, keep reading to learn more.
Given numbers are 947,962,897,806,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 947,962,897,806,240 is 77946357840.
Find LCM of 947,962,897,806,240 with Prime Factorization
| 2 | 947, 962, 897, 806, 240 |
| 3 | 947, 481, 897, 403, 120 |
| 13 | 947, 481, 299, 403, 40 |
| 947, 37, 23, 31, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 947 x 37 x 23 x 31 x 40 = 77946357840
Therefore, the lowest common multiple of 947,962,897,806,240 is 77946357840.
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.
947 x 962 x 897 x 806 x 240 = 158075213699520
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.
947 : 1, 947
962 : 1, 2, 13, 26, 37, 74, 481, 962
897 : 1, 3, 13, 23, 39, 69, 299, 897
806 : 1, 2, 13, 26, 31, 62, 403, 806
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,962,897,806,240, is 1.
Now, the common factors can be found like this.
947:947
962:2x 13x 37
897:3x 13x 23
806:2x 13x 31
240:2x 2x 2x 2x 3x 5
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 3x 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 158075213699520/(1x2028)
LCM = 158075213699520/2028
LCM = 77946357840
Thus, we can understand that the LCM of 947,962,897,806,240 is 77946357840.
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FAQs on LCM of 947, 962, 897, 806, 240
1. What is the LCM of 947, 962, 897, 806, 240?
Answer: LCM of 947, 962, 897, 806, 240 is 77946357840.
2. How to calculate the LCM of 947, 962, 897, 806, 240?
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 947, 962, 897, 806, 240.
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}.