LCM of 867, 176, 968, 772
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 176, 968, 772 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 867, 176, 968, 772. So, keep reading to learn more.
Given numbers are 867,176,968,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,176,968,772 is 323952816.
Find LCM of 867,176,968,772 with Prime Factorization
| 2 | 867, 176, 968, 772 |
| 2 | 867, 88, 484, 386 |
| 2 | 867, 44, 242, 193 |
| 11 | 867, 22, 121, 193 |
| 867, 2, 11, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 867 x 2 x 11 x 193 = 323952816
Therefore, the lowest common multiple of 867,176,968,772 is 323952816.
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.
867 x 176 x 968 x 772 = 114031391232
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.
867 : 1, 3, 17, 51, 289, 867
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,176,968,772, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
176:2x 2x 2x 2x 11
968:2x 2x 2x 11x 11
772:2x 2x 193
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 2x 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 114031391232/(1x352)
LCM = 114031391232/352
LCM = 323952816
Thus, we can understand that the LCM of 867,176,968,772 is 323952816.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 867, 176, 968, 772
1. What is the LCM of 867, 176, 968, 772?
Answer: LCM of 867, 176, 968, 772 is 323952816.
2. How to calculate the LCM of 867, 176, 968, 772?
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 867, 176, 968, 772.
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}.