Find the LCM of 557, 597, 967, 597, 378 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 557, 597, 967, 597, 378. So, keep reading to learn more.
Given numbers are 557,597,967,597,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,597,967,597,378 is 40515998418.
Find LCM of 557,597,967,597,378 with Prime Factorization
3 | 557, 597, 967, 597, 378 |
199 | 557, 199, 967, 199, 126 |
557, 1, 967, 1, 126 |
Multiply the prime numbers at the bottom and the left side.
3 x 199 x 557 x 1 x 967 x 1 x 126 = 40515998418
Therefore, the lowest common multiple of 557,597,967,597,378 is 40515998418.
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.
557 x 597 x 967 x 597 x 378 = 72564153166638
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.
557 : 1, 557
597 : 1, 3, 199, 597
967 : 1, 967
597 : 1, 3, 199, 597
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,597,967,597,378, is 1.
Now, the common factors can be found like this.
557:557
597:3x 199
967:967
597:3x 199
378:2x 3x 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.
3x 3x 199 = 1791
Therefore, the value for common factors is 1791.
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 = 72564153166638/(1x1791)
LCM = 72564153166638/1791
LCM = 40515998418
Thus, we can understand that the LCM of 557,597,967,597,378 is 40515998418.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 557, 597, 967, 597, 378?
Answer: LCM of 557, 597, 967, 597, 378 is 40515998418.
2. How to calculate the LCM of 557, 597, 967, 597, 378?
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 557, 597, 967, 597, 378.
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}.