LCM of 251, 363, 961, 945, 557
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 363, 961, 945, 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 251, 363, 961, 945, 557. So, keep reading to learn more.
Given numbers are 251,363,961,945,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,363,961,945,557 is 15362768389815.
Find LCM of 251,363,961,945,557 with Prime Factorization
| 3 | 251, 363, 961, 945, 557 |
| 251, 121, 961, 315, 557 |
Multiply the prime numbers at the bottom and the left side.
3 x 251 x 121 x 961 x 315 x 557 = 15362768389815
Therefore, the lowest common multiple of 251,363,961,945,557 is 15362768389815.
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.
251 x 363 x 961 x 945 x 557 = 46088305169445
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.
251 : 1, 251
363 : 1, 3, 11, 33, 121, 363
961 : 1, 31, 961
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,363,961,945,557, is 1.
Now, the common factors can be found like this.
251:251
363:3x 11x 11
961:31x 31
945:3x 3x 3x 5x 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.
3 = 3
Therefore, the value for common factors is 3.
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 = 46088305169445/(1x3)
LCM = 46088305169445/3
LCM = 15362768389815
Thus, we can understand that the LCM of 251,363,961,945,557 is 15362768389815.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 251, 363, 961, 945, 557
1. What is the LCM of 251, 363, 961, 945, 557?
Answer: LCM of 251, 363, 961, 945, 557 is 15362768389815.
2. How to calculate the LCM of 251, 363, 961, 945, 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 251, 363, 961, 945, 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}.