LCM of 557, 931, 566, 441, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 931, 566, 441, 371 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, 931, 566, 441, 371. So, keep reading to learn more.
Given numbers are 557,931,566,441,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,931,566,441,371 is 140003755794.
Find LCM of 557,931,566,441,371 with Prime Factorization
| 7 | 557, 931, 566, 441, 371 |
| 7 | 557, 133, 566, 63, 53 |
| 557, 19, 566, 9, 53 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 557 x 19 x 566 x 9 x 53 = 140003755794
Therefore, the lowest common multiple of 557,931,566,441,371 is 140003755794.
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 931 x 566 x 441 x 371 = 48021288237342
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
931 : 1, 7, 19, 49, 133, 931
566 : 1, 2, 283, 566
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,931,566,441,371, is 1.
Now, the common factors can be found like this.
557:557
931:7x 7x 19
566:2x 283
441:3x 3x 7x 7
371:7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 7 = 343
Therefore, the value for common factors is 343.
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 = 48021288237342/(1x343)
LCM = 48021288237342/343
LCM = 140003755794
Thus, we can understand that the LCM of 557,931,566,441,371 is 140003755794.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 931, 566, 441, 371
1. What is the LCM of 557, 931, 566, 441, 371?
Answer: LCM of 557, 931, 566, 441, 371 is 140003755794.
2. How to calculate the LCM of 557, 931, 566, 441, 371?
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, 931, 566, 441, 371.
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}.