LCM of 896, 441, 531, 860, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 441, 531, 860, 685 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 896, 441, 531, 860, 685. So, keep reading to learn more.
Given numbers are 896,441,531,860,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,441,531,860,685 is 98097874560.
Find LCM of 896,441,531,860,685 with Prime Factorization
| 2 | 896, 441, 531, 860, 685 |
| 2 | 448, 441, 531, 430, 685 |
| 3 | 224, 441, 531, 215, 685 |
| 3 | 224, 147, 177, 215, 685 |
| 5 | 224, 49, 59, 215, 685 |
| 7 | 224, 49, 59, 43, 137 |
| 32, 7, 59, 43, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 32 x 7 x 59 x 43 x 137 = 98097874560
Therefore, the lowest common multiple of 896,441,531,860,685 is 98097874560.
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.
896 x 441 x 531 x 860 x 685 = 123603321945600
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
531 : 1, 3, 9, 59, 177, 531
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,441,531,860,685, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
441:3x 3x 7x 7
531:3x 3x 59
860:2x 2x 5x 43
685:5x 137
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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 123603321945600/(1x1260)
LCM = 123603321945600/1260
LCM = 98097874560
Thus, we can understand that the LCM of 896,441,531,860,685 is 98097874560.
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FAQs on LCM of 896, 441, 531, 860, 685
1. What is the LCM of 896, 441, 531, 860, 685?
Answer: LCM of 896, 441, 531, 860, 685 is 98097874560.
2. How to calculate the LCM of 896, 441, 531, 860, 685?
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 896, 441, 531, 860, 685.
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}.