Find the LCM of 882, 285, 451, 802, 970 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 882, 285, 451, 802, 970. So, keep reading to learn more.
Given numbers are 882,285,451,802,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,285,451,802,970 is 1469890013130.
Find LCM of 882,285,451,802,970 with Prime Factorization
2 | 882, 285, 451, 802, 970 |
3 | 441, 285, 451, 401, 485 |
5 | 147, 95, 451, 401, 485 |
147, 19, 451, 401, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 147 x 19 x 451 x 401 x 97 = 1469890013130
Therefore, the lowest common multiple of 882,285,451,802,970 is 1469890013130.
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.
882 x 285 x 451 x 802 x 970 = 88193400787800
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
285 : 1, 3, 5, 15, 19, 57, 95, 285
451 : 1, 11, 41, 451
802 : 1, 2, 401, 802
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,285,451,802,970, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
285:3x 5x 19
451:11x 41
802:2x 401
970:2x 5x 97
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 5 = 60
Therefore, the value for common factors is 60.
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 = 88193400787800/(1x60)
LCM = 88193400787800/60
LCM = 1469890013130
Thus, we can understand that the LCM of 882,285,451,802,970 is 1469890013130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 882, 285, 451, 802, 970?
Answer: LCM of 882, 285, 451, 802, 970 is 1469890013130.
2. How to calculate the LCM of 882, 285, 451, 802, 970?
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 882, 285, 451, 802, 970.
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}.