Find the LCM of 973, 707, 378, 429, 490 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 973, 707, 378, 429, 490. So, keep reading to learn more.
Given numbers are 973,707,378,429,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,707,378,429,490 is 26560243710.
Find LCM of 973,707,378,429,490 with Prime Factorization
2 | 973, 707, 378, 429, 490 |
3 | 973, 707, 189, 429, 245 |
7 | 973, 707, 63, 143, 245 |
139, 101, 9, 143, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 139 x 101 x 9 x 143 x 35 = 26560243710
Therefore, the lowest common multiple of 973,707,378,429,490 is 26560243710.
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.
973 x 707 x 378 x 429 x 490 = 54660981555180
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.
973 : 1, 7, 139, 973
707 : 1, 7, 101, 707
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
429 : 1, 3, 11, 13, 33, 39, 143, 429
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,707,378,429,490, is 1.
Now, the common factors can be found like this.
973:7x 139
707:7x 101
378:2x 3x 3x 3x 7
429:3x 11x 13
490:2x 5x 7x 7
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 7x 7x 7 = 2058
Therefore, the value for common factors is 2058.
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 = 54660981555180/(1x2058)
LCM = 54660981555180/2058
LCM = 26560243710
Thus, we can understand that the LCM of 973,707,378,429,490 is 26560243710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 707, 378, 429, 490?
Answer: LCM of 973, 707, 378, 429, 490 is 26560243710.
2. How to calculate the LCM of 973, 707, 378, 429, 490?
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 973, 707, 378, 429, 490.
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}.