LCM of 108, 446, 928, 174, 881
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 108, 446, 928, 174, 881 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 108, 446, 928, 174, 881. So, keep reading to learn more.
Given numbers are 108,446,928,174,881
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,446,928,174,881 is 4922576928.
Find LCM of 108,446,928,174,881 with Prime Factorization
| 2 | 108, 446, 928, 174, 881 |
| 2 | 54, 223, 464, 87, 881 |
| 3 | 27, 223, 232, 87, 881 |
| 29 | 9, 223, 232, 29, 881 |
| 9, 223, 8, 1, 881 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 9 x 223 x 8 x 1 x 881 = 4922576928
Therefore, the lowest common multiple of 108,446,928,174,881 is 4922576928.
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.
108 x 446 x 928 x 174 x 881 = 6852227083776
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
446 : 1, 2, 223, 446
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
174 : 1, 2, 3, 6, 29, 58, 87, 174
881 : 1, 881
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,446,928,174,881, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
446:2x 223
928:2x 2x 2x 2x 2x 29
174:2x 3x 29
881:881
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 3x 29 = 1392
Therefore, the value for common factors is 1392.
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 = 6852227083776/(1x1392)
LCM = 6852227083776/1392
LCM = 4922576928
Thus, we can understand that the LCM of 108,446,928,174,881 is 4922576928.
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FAQs on LCM of 108, 446, 928, 174, 881
1. What is the LCM of 108, 446, 928, 174, 881?
Answer: LCM of 108, 446, 928, 174, 881 is 4922576928.
2. How to calculate the LCM of 108, 446, 928, 174, 881?
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 108, 446, 928, 174, 881.
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}.