LCM of 253, 477, 836, 221, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 477, 836, 221, 544 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, 477, 836, 221, 544. So, keep reading to learn more.
Given numbers are 253,477,836,221,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,477,836,221,544 is 16215664608.
Find LCM of 253,477,836,221,544 with Prime Factorization
| 2 | 253, 477, 836, 221, 544 |
| 2 | 253, 477, 418, 221, 272 |
| 11 | 253, 477, 209, 221, 136 |
| 17 | 23, 477, 19, 221, 136 |
| 23, 477, 19, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 23 x 477 x 19 x 13 x 8 = 16215664608
Therefore, the lowest common multiple of 253,477,836,221,544 is 16215664608.
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 477 x 836 x 221 x 544 = 12129317126784
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
477 : 1, 3, 9, 53, 159, 477
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
221 : 1, 13, 17, 221
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,477,836,221,544, is 1.
Now, the common factors can be found like this.
253:11x 23
477:3x 3x 53
836:2x 2x 11x 19
221:13x 17
544:2x 2x 2x 2x 2x 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 2x 11x 17 = 748
Therefore, the value for common factors is 748.
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 = 12129317126784/(1x748)
LCM = 12129317126784/748
LCM = 16215664608
Thus, we can understand that the LCM of 253,477,836,221,544 is 16215664608.
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FAQs on LCM of 253, 477, 836, 221, 544
1. What is the LCM of 253, 477, 836, 221, 544?
Answer: LCM of 253, 477, 836, 221, 544 is 16215664608.
2. How to calculate the LCM of 253, 477, 836, 221, 544?
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, 477, 836, 221, 544.
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}.