LCM of 245, 371, 441, 557
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 245, 371, 441, 557 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 245, 371, 441, 557. So, keep reading to learn more.
Given numbers are 245,371,441,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 245,371,441,557 is 65093805.
Find LCM of 245,371,441,557 with Prime Factorization
| 7 | 245, 371, 441, 557 |
| 7 | 35, 53, 63, 557 |
| 5, 53, 9, 557 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 5 x 53 x 9 x 557 = 65093805
Therefore, the lowest common multiple of 245,371,441,557 is 65093805.
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.
245 x 371 x 441 x 557 = 22327175115
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.
245 : 1, 5, 7, 35, 49, 245
371 : 1, 7, 53, 371
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,371,441,557, is 1.
Now, the common factors can be found like this.
245:5x 7x 7
371:7x 53
441:3x 3x 7x 7
557:557
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 = 22327175115/(1x343)
LCM = 22327175115/343
LCM = 65093805
Thus, we can understand that the LCM of 245,371,441,557 is 65093805.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 245, 371, 441, 557
1. What is the LCM of 245, 371, 441, 557?
Answer: LCM of 245, 371, 441, 557 is 65093805.
2. How to calculate the LCM of 245, 371, 441, 557?
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 245, 371, 441, 557.
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}.