Find the LCM of 865, 567, 719, 399, 882 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 865, 567, 719, 399, 882. So, keep reading to learn more.
Given numbers are 865,567,719,399,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,567,719,399,882 is 93801480570.
Find LCM of 865,567,719,399,882 with Prime Factorization
3 | 865, 567, 719, 399, 882 |
3 | 865, 189, 719, 133, 294 |
7 | 865, 63, 719, 133, 98 |
865, 9, 719, 19, 14 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 865 x 9 x 719 x 19 x 14 = 93801480570
Therefore, the lowest common multiple of 865,567,719,399,882 is 93801480570.
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.
865 x 567 x 719 x 399 x 882 = 124099358794110
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.
865 : 1, 5, 173, 865
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
719 : 1, 719
399 : 1, 3, 7, 19, 21, 57, 133, 399
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,567,719,399,882, is 1.
Now, the common factors can be found like this.
865:5x 173
567:3x 3x 3x 3x 7
719:719
399:3x 7x 19
882:2x 3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 7 = 1323
Therefore, the value for common factors is 1323.
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 = 124099358794110/(1x1323)
LCM = 124099358794110/1323
LCM = 93801480570
Thus, we can understand that the LCM of 865,567,719,399,882 is 93801480570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 865, 567, 719, 399, 882?
Answer: LCM of 865, 567, 719, 399, 882 is 93801480570.
2. How to calculate the LCM of 865, 567, 719, 399, 882?
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 865, 567, 719, 399, 882.
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}.