Find the LCM of 865, 195, 936, 576, 723 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, 195, 936, 576, 723. So, keep reading to learn more.
Given numbers are 865,195,936,576,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,195,936,576,723 is 1560985920.
Find LCM of 865,195,936,576,723 with Prime Factorization
2 | 865, 195, 936, 576, 723 |
2 | 865, 195, 468, 288, 723 |
2 | 865, 195, 234, 144, 723 |
3 | 865, 195, 117, 72, 723 |
3 | 865, 65, 39, 24, 241 |
5 | 865, 65, 13, 8, 241 |
13 | 173, 13, 13, 8, 241 |
173, 1, 1, 8, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 13 x 173 x 1 x 1 x 8 x 241 = 1560985920
Therefore, the lowest common multiple of 865,195,936,576,723 is 1560985920.
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 195 x 936 x 576 x 723 = 65748726950400
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
195 : 1, 3, 5, 13, 15, 39, 65, 195
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,195,936,576,723, is 1.
Now, the common factors can be found like this.
865:5x 173
195:3x 5x 13
936:2x 2x 2x 3x 3x 13
576:2x 2x 2x 2x 2x 2x 3x 3
723:3x 241
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 3x 3x 3x 3x 5x 13 = 42120
Therefore, the value for common factors is 42120.
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 = 65748726950400/(1x42120)
LCM = 65748726950400/42120
LCM = 1560985920
Thus, we can understand that the LCM of 865,195,936,576,723 is 1560985920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 865, 195, 936, 576, 723?
Answer: LCM of 865, 195, 936, 576, 723 is 1560985920.
2. How to calculate the LCM of 865, 195, 936, 576, 723?
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, 195, 936, 576, 723.
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}.