Find the LCM of 281, 430, 645, 624, 729 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 281, 430, 645, 624, 729. So, keep reading to learn more.
Given numbers are 281,430,645,624,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,430,645,624,729 is 9160847280.
Find LCM of 281,430,645,624,729 with Prime Factorization
2 | 281, 430, 645, 624, 729 |
3 | 281, 215, 645, 312, 729 |
5 | 281, 215, 215, 104, 243 |
43 | 281, 43, 43, 104, 243 |
281, 1, 1, 104, 243 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 43 x 281 x 1 x 1 x 104 x 243 = 9160847280
Therefore, the lowest common multiple of 281,430,645,624,729 is 9160847280.
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.
281 x 430 x 645 x 624 x 729 = 35452478973600
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.
281 : 1, 281
430 : 1, 2, 5, 10, 43, 86, 215, 430
645 : 1, 3, 5, 15, 43, 129, 215, 645
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,430,645,624,729, is 1.
Now, the common factors can be found like this.
281:281
430:2x 5x 43
645:3x 5x 43
624:2x 2x 2x 2x 3x 13
729:3x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 43 = 3870
Therefore, the value for common factors is 3870.
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 = 35452478973600/(1x3870)
LCM = 35452478973600/3870
LCM = 9160847280
Thus, we can understand that the LCM of 281,430,645,624,729 is 9160847280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 281, 430, 645, 624, 729?
Answer: LCM of 281, 430, 645, 624, 729 is 9160847280.
2. How to calculate the LCM of 281, 430, 645, 624, 729?
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 281, 430, 645, 624, 729.
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}.