Find the LCM of 143, 774, 858, 324, 722 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 143, 774, 858, 324, 722. So, keep reading to learn more.
Given numbers are 143,774,858,324,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,774,858,324,722 is 719211636.
Find LCM of 143,774,858,324,722 with Prime Factorization
2 | 143, 774, 858, 324, 722 |
3 | 143, 387, 429, 162, 361 |
3 | 143, 129, 143, 54, 361 |
11 | 143, 43, 143, 18, 361 |
13 | 13, 43, 13, 18, 361 |
1, 43, 1, 18, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 1 x 43 x 1 x 18 x 361 = 719211636
Therefore, the lowest common multiple of 143,774,858,324,722 is 719211636.
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.
143 x 774 x 858 x 324 x 722 = 22215009012768
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.
143 : 1, 11, 13, 143
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,774,858,324,722, is 1.
Now, the common factors can be found like this.
143:11x 13
774:2x 3x 3x 43
858:2x 3x 11x 13
324:2x 2x 3x 3x 3x 3
722:2x 19x 19
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 11x 13 = 30888
Therefore, the value for common factors is 30888.
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 = 22215009012768/(1x30888)
LCM = 22215009012768/30888
LCM = 719211636
Thus, we can understand that the LCM of 143,774,858,324,722 is 719211636.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 143, 774, 858, 324, 722?
Answer: LCM of 143, 774, 858, 324, 722 is 719211636.
2. How to calculate the LCM of 143, 774, 858, 324, 722?
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 143, 774, 858, 324, 722.
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}.