LCM of 882, 945, 605, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 945, 605, 965 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 882, 945, 605, 965. So, keep reading to learn more.
Given numbers are 882,945,605,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,945,605,965 is 308960190.
Find LCM of 882,945,605,965 with Prime Factorization
| 3 | 882, 945, 605, 965 |
| 3 | 294, 315, 605, 965 |
| 5 | 98, 105, 605, 965 |
| 7 | 98, 21, 121, 193 |
| 14, 3, 121, 193 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 14 x 3 x 121 x 193 = 308960190
Therefore, the lowest common multiple of 882,945,605,965 is 308960190.
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.
882 x 945 x 605 x 965 = 486612299250
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
605 : 1, 5, 11, 55, 121, 605
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,945,605,965, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
945:3x 3x 3x 5x 7
605:5x 11x 11
965:5x 193
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 5x 5x 7 = 1575
Therefore, the value for common factors is 1575.
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 = 486612299250/(1x1575)
LCM = 486612299250/1575
LCM = 308960190
Thus, we can understand that the LCM of 882,945,605,965 is 308960190.
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FAQs on LCM of 882, 945, 605, 965
1. What is the LCM of 882, 945, 605, 965?
Answer: LCM of 882, 945, 605, 965 is 308960190.
2. How to calculate the LCM of 882, 945, 605, 965?
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 882, 945, 605, 965.
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}.