LCM of 253, 779, 695, 741, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 779, 695, 741, 481 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 253, 779, 695, 741, 481. So, keep reading to learn more.
Given numbers are 253,779,695,741,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,779,695,741,481 is 197655595995.
Find LCM of 253,779,695,741,481 with Prime Factorization
| 13 | 253, 779, 695, 741, 481 |
| 19 | 253, 779, 695, 57, 37 |
| 253, 41, 695, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 253 x 41 x 695 x 3 x 37 = 197655595995
Therefore, the lowest common multiple of 253,779,695,741,481 is 197655595995.
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.
253 x 779 x 695 x 741 x 481 = 48820932210765
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.
253 : 1, 11, 23, 253
779 : 1, 19, 41, 779
695 : 1, 5, 139, 695
741 : 1, 3, 13, 19, 39, 57, 247, 741
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,779,695,741,481, is 1.
Now, the common factors can be found like this.
253:11x 23
779:19x 41
695:5x 139
741:3x 13x 19
481:13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19 = 247
Therefore, the value for common factors is 247.
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 = 48820932210765/(1x247)
LCM = 48820932210765/247
LCM = 197655595995
Thus, we can understand that the LCM of 253,779,695,741,481 is 197655595995.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 779, 695, 741, 481
1. What is the LCM of 253, 779, 695, 741, 481?
Answer: LCM of 253, 779, 695, 741, 481 is 197655595995.
2. How to calculate the LCM of 253, 779, 695, 741, 481?
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 253, 779, 695, 741, 481.
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}.