LCM of 981, 225, 962, 847, 246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 225, 962, 847, 246 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 981, 225, 962, 847, 246. So, keep reading to learn more.
Given numbers are 981,225,962,847,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,225,962,847,246 is 819315847350.
Find LCM of 981,225,962,847,246 with Prime Factorization
| 2 | 981, 225, 962, 847, 246 |
| 3 | 981, 225, 481, 847, 123 |
| 3 | 327, 75, 481, 847, 41 |
| 109, 25, 481, 847, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 109 x 25 x 481 x 847 x 41 = 819315847350
Therefore, the lowest common multiple of 981,225,962,847,246 is 819315847350.
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.
981 x 225 x 962 x 847 x 246 = 44243055756900
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.
981 : 1, 3, 9, 109, 327, 981
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
962 : 1, 2, 13, 26, 37, 74, 481, 962
847 : 1, 7, 11, 77, 121, 847
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,225,962,847,246, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
225:3x 3x 5x 5
962:2x 13x 37
847:7x 11x 11
246:2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 44243055756900/(1x54)
LCM = 44243055756900/54
LCM = 819315847350
Thus, we can understand that the LCM of 981,225,962,847,246 is 819315847350.
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FAQs on LCM of 981, 225, 962, 847, 246
1. What is the LCM of 981, 225, 962, 847, 246?
Answer: LCM of 981, 225, 962, 847, 246 is 819315847350.
2. How to calculate the LCM of 981, 225, 962, 847, 246?
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 981, 225, 962, 847, 246.
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}.