Find the LCM of 374, 374, 582, 904, 597 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 374, 374, 582, 904, 597. So, keep reading to learn more.
Given numbers are 374,374,582,904,597
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,374,582,904,597 is 9789400632.
Find LCM of 374,374,582,904,597 with Prime Factorization
2 | 374, 374, 582, 904, 597 |
3 | 187, 187, 291, 452, 597 |
11 | 187, 187, 97, 452, 199 |
17 | 17, 17, 97, 452, 199 |
1, 1, 97, 452, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 1 x 1 x 97 x 452 x 199 = 9789400632
Therefore, the lowest common multiple of 374,374,582,904,597 is 9789400632.
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.
374 x 374 x 582 x 904 x 597 = 43934830036416
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
374 : 1, 2, 11, 17, 22, 34, 187, 374
582 : 1, 2, 3, 6, 97, 194, 291, 582
904 : 1, 2, 4, 8, 113, 226, 452, 904
597 : 1, 3, 199, 597
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,374,582,904,597, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
374:2x 11x 17
582:2x 3x 97
904:2x 2x 2x 113
597:3x 199
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 3x 11x 17 = 4488
Therefore, the value for common factors is 4488.
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 = 43934830036416/(1x4488)
LCM = 43934830036416/4488
LCM = 9789400632
Thus, we can understand that the LCM of 374,374,582,904,597 is 9789400632.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 374, 374, 582, 904, 597?
Answer: LCM of 374, 374, 582, 904, 597 is 9789400632.
2. How to calculate the LCM of 374, 374, 582, 904, 597?
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 374, 374, 582, 904, 597.
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}.