Find the LCM of 702, 921, 740, 964, 504 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 702, 921, 740, 964, 504. So, keep reading to learn more.
Given numbers are 702,921,740,964,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,921,740,964,504 is 269043367320.
Find LCM of 702,921,740,964,504 with Prime Factorization
2 | 702, 921, 740, 964, 504 |
2 | 351, 921, 370, 482, 252 |
3 | 351, 921, 185, 241, 126 |
3 | 117, 307, 185, 241, 42 |
39, 307, 185, 241, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 39 x 307 x 185 x 241 x 14 = 269043367320
Therefore, the lowest common multiple of 702,921,740,964,504 is 269043367320.
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.
702 x 921 x 740 x 964 x 504 = 232453469364480
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
921 : 1, 3, 307, 921
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
964 : 1, 2, 4, 241, 482, 964
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,921,740,964,504, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
921:3x 307
740:2x 2x 5x 37
964:2x 2x 241
504:2x 2x 2x 3x 3x 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 2x 2x 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 232453469364480/(1x864)
LCM = 232453469364480/864
LCM = 269043367320
Thus, we can understand that the LCM of 702,921,740,964,504 is 269043367320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 921, 740, 964, 504?
Answer: LCM of 702, 921, 740, 964, 504 is 269043367320.
2. How to calculate the LCM of 702, 921, 740, 964, 504?
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 702, 921, 740, 964, 504.
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}.