Find the LCM of 740, 868, 728, 592, 344 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 740, 868, 728, 592, 344. So, keep reading to learn more.
Given numbers are 740,868,728,592,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,868,728,592,344 is 359056880.
Find LCM of 740,868,728,592,344 with Prime Factorization
2 | 740, 868, 728, 592, 344 |
2 | 370, 434, 364, 296, 172 |
2 | 185, 217, 182, 148, 86 |
7 | 185, 217, 91, 74, 43 |
37 | 185, 31, 13, 74, 43 |
5, 31, 13, 2, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 37 x 5 x 31 x 13 x 2 x 43 = 359056880
Therefore, the lowest common multiple of 740,868,728,592,344 is 359056880.
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.
740 x 868 x 728 x 592 x 344 = 95227629486080
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
344 : 1, 2, 4, 8, 43, 86, 172, 344
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,868,728,592,344, is 4.
Now, the common factors can be found like this.
740:2x 2x 5x 37
868:2x 2x 7x 31
728:2x 2x 2x 7x 13
592:2x 2x 2x 2x 37
344:2x 2x 2x 43
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 2x 2x 2x 7x 37 = 66304
Therefore, the value for common factors is 66304.
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 = 95227629486080/(4x66304)
LCM = 95227629486080/265216
LCM = 359056880
Thus, we can understand that the LCM of 740,868,728,592,344 is 359056880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 740, 868, 728, 592, 344?
Answer: LCM of 740, 868, 728, 592, 344 is 359056880.
2. How to calculate the LCM of 740, 868, 728, 592, 344?
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 740, 868, 728, 592, 344.
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}.