LCM of 544, 565, 510, 923, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 565, 510, 923, 221 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 544, 565, 510, 923, 221. So, keep reading to learn more.
Given numbers are 544,565,510,923,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,565,510,923,221 is 851079840.
Find LCM of 544,565,510,923,221 with Prime Factorization
| 2 | 544, 565, 510, 923, 221 |
| 5 | 272, 565, 255, 923, 221 |
| 13 | 272, 113, 51, 923, 221 |
| 17 | 272, 113, 51, 71, 17 |
| 16, 113, 3, 71, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 17 x 16 x 113 x 3 x 71 x 1 = 851079840
Therefore, the lowest common multiple of 544,565,510,923,221 is 851079840.
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.
544 x 565 x 510 x 923 x 221 = 31975069588800
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
565 : 1, 5, 113, 565
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
923 : 1, 13, 71, 923
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,565,510,923,221, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
565:5x 113
510:2x 3x 5x 17
923:13x 71
221:13x 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 5x 13x 17x 17 = 37570
Therefore, the value for common factors is 37570.
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 = 31975069588800/(1x37570)
LCM = 31975069588800/37570
LCM = 851079840
Thus, we can understand that the LCM of 544,565,510,923,221 is 851079840.
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FAQs on LCM of 544, 565, 510, 923, 221
1. What is the LCM of 544, 565, 510, 923, 221?
Answer: LCM of 544, 565, 510, 923, 221 is 851079840.
2. How to calculate the LCM of 544, 565, 510, 923, 221?
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 544, 565, 510, 923, 221.
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}.