Find the LCM of 935, 680, 154, 623, 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 935, 680, 154, 623, 729. So, keep reading to learn more.
Given numbers are 935,680,154,623,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,680,154,623,729 is 3397169160.
Find LCM of 935,680,154,623,729 with Prime Factorization
2 | 935, 680, 154, 623, 729 |
5 | 935, 340, 77, 623, 729 |
7 | 187, 68, 77, 623, 729 |
11 | 187, 68, 11, 89, 729 |
17 | 17, 68, 1, 89, 729 |
1, 4, 1, 89, 729 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 17 x 1 x 4 x 1 x 89 x 729 = 3397169160
Therefore, the lowest common multiple of 935,680,154,623,729 is 3397169160.
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.
935 x 680 x 154 x 623 x 729 = 44468944304400
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
154 : 1, 2, 7, 11, 14, 22, 77, 154
623 : 1, 7, 89, 623
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 935,680,154,623,729, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
680:2x 2x 2x 5x 17
154:2x 7x 11
623:7x 89
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 5x 7x 11x 17 = 13090
Therefore, the value for common factors is 13090.
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 = 44468944304400/(1x13090)
LCM = 44468944304400/13090
LCM = 3397169160
Thus, we can understand that the LCM of 935,680,154,623,729 is 3397169160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 935, 680, 154, 623, 729?
Answer: LCM of 935, 680, 154, 623, 729 is 3397169160.
2. How to calculate the LCM of 935, 680, 154, 623, 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 935, 680, 154, 623, 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}.