LCM of 253, 741, 361, 364, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 741, 361, 364, 578 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, 741, 361, 364, 578. So, keep reading to learn more.
Given numbers are 253,741,361,364,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,741,361,364,578 is 28823598804.
Find LCM of 253,741,361,364,578 with Prime Factorization
| 2 | 253, 741, 361, 364, 578 |
| 13 | 253, 741, 361, 182, 289 |
| 19 | 253, 57, 361, 14, 289 |
| 253, 3, 19, 14, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 253 x 3 x 19 x 14 x 289 = 28823598804
Therefore, the lowest common multiple of 253,741,361,364,578 is 28823598804.
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 741 x 361 x 364 x 578 = 14238857809176
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
741 : 1, 3, 13, 19, 39, 57, 247, 741
361 : 1, 19, 361
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,741,361,364,578, is 1.
Now, the common factors can be found like this.
253:11x 23
741:3x 13x 19
361:19x 19
364:2x 2x 7x 13
578:2x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 19 = 494
Therefore, the value for common factors is 494.
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 = 14238857809176/(1x494)
LCM = 14238857809176/494
LCM = 28823598804
Thus, we can understand that the LCM of 253,741,361,364,578 is 28823598804.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 741, 361, 364, 578
1. What is the LCM of 253, 741, 361, 364, 578?
Answer: LCM of 253, 741, 361, 364, 578 is 28823598804.
2. How to calculate the LCM of 253, 741, 361, 364, 578?
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, 741, 361, 364, 578.
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}.