LCM of 176, 981, 781, 693, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 176, 981, 781, 693, 945 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 176, 981, 781, 693, 945. So, keep reading to learn more.
Given numbers are 176,981,781,693,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 176,981,781,693,945 is 1287150480.
Find LCM of 176,981,781,693,945 with Prime Factorization
| 3 | 176, 981, 781, 693, 945 |
| 3 | 176, 327, 781, 231, 315 |
| 7 | 176, 109, 781, 77, 105 |
| 11 | 176, 109, 781, 11, 15 |
| 16, 109, 71, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 11 x 16 x 109 x 71 x 1 x 15 = 1287150480
Therefore, the lowest common multiple of 176,981,781,693,945 is 1287150480.
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.
176 x 981 x 781 x 693 x 945 = 88307532981360
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.
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
981 : 1, 3, 9, 109, 327, 981
781 : 1, 11, 71, 781
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,981,781,693,945, is 1.
Now, the common factors can be found like this.
176:2x 2x 2x 2x 11
981:3x 3x 109
781:11x 71
693:3x 3x 7x 11
945:3x 3x 3x 5x 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 3x 3x 7x 11x 11 = 68607
Therefore, the value for common factors is 68607.
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 = 88307532981360/(1x68607)
LCM = 88307532981360/68607
LCM = 1287150480
Thus, we can understand that the LCM of 176,981,781,693,945 is 1287150480.
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FAQs on LCM of 176, 981, 781, 693, 945
1. What is the LCM of 176, 981, 781, 693, 945?
Answer: LCM of 176, 981, 781, 693, 945 is 1287150480.
2. How to calculate the LCM of 176, 981, 781, 693, 945?
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 176, 981, 781, 693, 945.
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}.