Find the LCM of 729, 616, 143, 236, 524 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 729, 616, 143, 236, 524. So, keep reading to learn more.
Given numbers are 729,616,143,236,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,616,143,236,524 is 45120603528.
Find LCM of 729,616,143,236,524 with Prime Factorization
2 | 729, 616, 143, 236, 524 |
2 | 729, 308, 143, 118, 262 |
11 | 729, 154, 143, 59, 131 |
729, 14, 13, 59, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 729 x 14 x 13 x 59 x 131 = 45120603528
Therefore, the lowest common multiple of 729,616,143,236,524 is 45120603528.
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.
729 x 616 x 143 x 236 x 524 = 7941226220928
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.
729 : 1, 3, 9, 27, 81, 243, 729
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
143 : 1, 11, 13, 143
236 : 1, 2, 4, 59, 118, 236
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,616,143,236,524, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
616:2x 2x 2x 7x 11
143:11x 13
236:2x 2x 59
524:2x 2x 131
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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 7941226220928/(1x176)
LCM = 7941226220928/176
LCM = 45120603528
Thus, we can understand that the LCM of 729,616,143,236,524 is 45120603528.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 616, 143, 236, 524?
Answer: LCM of 729, 616, 143, 236, 524 is 45120603528.
2. How to calculate the LCM of 729, 616, 143, 236, 524?
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 729, 616, 143, 236, 524.
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}.