Find the LCM of 703, 923, 364, 937, 590 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 703, 923, 364, 937, 590. So, keep reading to learn more.
Given numbers are 703,923,364,937,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,923,364,937,590 is 5021999489780.
Find LCM of 703,923,364,937,590 with Prime Factorization
2 | 703, 923, 364, 937, 590 |
13 | 703, 923, 182, 937, 295 |
703, 71, 14, 937, 295 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 703 x 71 x 14 x 937 x 295 = 5021999489780
Therefore, the lowest common multiple of 703,923,364,937,590 is 5021999489780.
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.
703 x 923 x 364 x 937 x 590 = 130571986734280
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.
703 : 1, 19, 37, 703
923 : 1, 13, 71, 923
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
937 : 1, 937
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,923,364,937,590, is 1.
Now, the common factors can be found like this.
703:19x 37
923:13x 71
364:2x 2x 7x 13
937:937
590:2x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 130571986734280/(1x26)
LCM = 130571986734280/26
LCM = 5021999489780
Thus, we can understand that the LCM of 703,923,364,937,590 is 5021999489780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 703, 923, 364, 937, 590?
Answer: LCM of 703, 923, 364, 937, 590 is 5021999489780.
2. How to calculate the LCM of 703, 923, 364, 937, 590?
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 703, 923, 364, 937, 590.
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}.