Find the LCM of 897, 860, 471, 430, 671 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 897, 860, 471, 430, 671. So, keep reading to learn more.
Given numbers are 897,860,471,430,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,860,471,430,671 is 81266782740.
Find LCM of 897,860,471,430,671 with Prime Factorization
2 | 897, 860, 471, 430, 671 |
3 | 897, 430, 471, 215, 671 |
5 | 299, 430, 157, 215, 671 |
43 | 299, 86, 157, 43, 671 |
299, 2, 157, 1, 671 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 43 x 299 x 2 x 157 x 1 x 671 = 81266782740
Therefore, the lowest common multiple of 897,860,471,430,671 is 81266782740.
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.
897 x 860 x 471 x 430 x 671 = 104834149734600
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
471 : 1, 3, 157, 471
430 : 1, 2, 5, 10, 43, 86, 215, 430
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,860,471,430,671, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
860:2x 2x 5x 43
471:3x 157
430:2x 5x 43
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 43 = 1290
Therefore, the value for common factors is 1290.
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 = 104834149734600/(1x1290)
LCM = 104834149734600/1290
LCM = 81266782740
Thus, we can understand that the LCM of 897,860,471,430,671 is 81266782740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 897, 860, 471, 430, 671?
Answer: LCM of 897, 860, 471, 430, 671 is 81266782740.
2. How to calculate the LCM of 897, 860, 471, 430, 671?
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 897, 860, 471, 430, 671.
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}.