LCM of 969, 731, 735, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 731, 735, 111 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 969, 731, 735, 111. So, keep reading to learn more.
Given numbers are 969,731,735,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,731,735,111 is 377711355.
Find LCM of 969,731,735,111 with Prime Factorization
| 3 | 969, 731, 735, 111 |
| 17 | 323, 731, 245, 37 |
| 19, 43, 245, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 43 x 245 x 37 = 377711355
Therefore, the lowest common multiple of 969,731,735,111 is 377711355.
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.
969 x 731 x 735 x 111 = 57789837315
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
731 : 1, 17, 43, 731
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,731,735,111, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
731:17x 43
735:3x 5x 7x 7
111:3x 37
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 17 = 153
Therefore, the value for common factors is 153.
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 = 57789837315/(1x153)
LCM = 57789837315/153
LCM = 377711355
Thus, we can understand that the LCM of 969,731,735,111 is 377711355.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 731, 735, 111
1. What is the LCM of 969, 731, 735, 111?
Answer: LCM of 969, 731, 735, 111 is 377711355.
2. How to calculate the LCM of 969, 731, 735, 111?
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 969, 731, 735, 111.
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}.