LCM of 861, 448, 105, 997, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 448, 105, 997, 253 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 861, 448, 105, 997, 253. So, keep reading to learn more.
Given numbers are 861,448,105,997,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,448,105,997,253 is 69497440320.
Find LCM of 861,448,105,997,253 with Prime Factorization
| 3 | 861, 448, 105, 997, 253 |
| 7 | 287, 448, 35, 997, 253 |
| 41, 64, 5, 997, 253 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 41 x 64 x 5 x 997 x 253 = 69497440320
Therefore, the lowest common multiple of 861,448,105,997,253 is 69497440320.
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.
861 x 448 x 105 x 997 x 253 = 10216123727040
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
105 : 1, 3, 5, 7, 15, 21, 35, 105
997 : 1, 997
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,448,105,997,253, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
448:2x 2x 2x 2x 2x 2x 7
105:3x 5x 7
997:997
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 10216123727040/(1x147)
LCM = 10216123727040/147
LCM = 69497440320
Thus, we can understand that the LCM of 861,448,105,997,253 is 69497440320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 861, 448, 105, 997, 253
1. What is the LCM of 861, 448, 105, 997, 253?
Answer: LCM of 861, 448, 105, 997, 253 is 69497440320.
2. How to calculate the LCM of 861, 448, 105, 997, 253?
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 861, 448, 105, 997, 253.
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}.