LCM of 883, 363, 110, 315, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 883, 363, 110, 315, 977 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 883, 363, 110, 315, 977. So, keep reading to learn more.
Given numbers are 883,363,110,315,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 883,363,110,315,977 is 65762934930.
Find LCM of 883,363,110,315,977 with Prime Factorization
| 3 | 883, 363, 110, 315, 977 |
| 5 | 883, 121, 110, 105, 977 |
| 11 | 883, 121, 22, 21, 977 |
| 883, 11, 2, 21, 977 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 883 x 11 x 2 x 21 x 977 = 65762934930
Therefore, the lowest common multiple of 883,363,110,315,977 is 65762934930.
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.
883 x 363 x 110 x 315 x 977 = 10850884263450
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.
883 : 1, 883
363 : 1, 3, 11, 33, 121, 363
110 : 1, 2, 5, 10, 11, 22, 55, 110
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,363,110,315,977, is 1.
Now, the common factors can be found like this.
883:883
363:3x 11x 11
110:2x 5x 11
315:3x 3x 5x 7
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 10850884263450/(1x165)
LCM = 10850884263450/165
LCM = 65762934930
Thus, we can understand that the LCM of 883,363,110,315,977 is 65762934930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 883, 363, 110, 315, 977
1. What is the LCM of 883, 363, 110, 315, 977?
Answer: LCM of 883, 363, 110, 315, 977 is 65762934930.
2. How to calculate the LCM of 883, 363, 110, 315, 977?
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 883, 363, 110, 315, 977.
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}.