Find the LCM of 156, 975, 829, 309, 935 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 156, 975, 829, 309, 935. So, keep reading to learn more.
Given numbers are 156,975,829,309,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,975,829,309,935 is 62272739100.
Find LCM of 156,975,829,309,935 with Prime Factorization
3 | 156, 975, 829, 309, 935 |
5 | 52, 325, 829, 103, 935 |
13 | 52, 65, 829, 103, 187 |
4, 5, 829, 103, 187 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 4 x 5 x 829 x 103 x 187 = 62272739100
Therefore, the lowest common multiple of 156,975,829,309,935 is 62272739100.
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.
156 x 975 x 829 x 309 x 935 = 36429552373500
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
829 : 1, 829
309 : 1, 3, 103, 309
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,975,829,309,935, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
975:3x 5x 5x 13
829:829
309:3x 103
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13 = 585
Therefore, the value for common factors is 585.
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 = 36429552373500/(1x585)
LCM = 36429552373500/585
LCM = 62272739100
Thus, we can understand that the LCM of 156,975,829,309,935 is 62272739100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 156, 975, 829, 309, 935?
Answer: LCM of 156, 975, 829, 309, 935 is 62272739100.
2. How to calculate the LCM of 156, 975, 829, 309, 935?
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 156, 975, 829, 309, 935.
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}.