LCM of 544, 422, 275, 715, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 422, 275, 715, 264 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, 422, 275, 715, 264. So, keep reading to learn more.
Given numbers are 544,422,275,715,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,422,275,715,264 is 1231058400.
Find LCM of 544,422,275,715,264 with Prime Factorization
| 2 | 544, 422, 275, 715, 264 |
| 2 | 272, 211, 275, 715, 132 |
| 2 | 136, 211, 275, 715, 66 |
| 5 | 68, 211, 275, 715, 33 |
| 11 | 68, 211, 55, 143, 33 |
| 68, 211, 5, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 68 x 211 x 5 x 13 x 3 = 1231058400
Therefore, the lowest common multiple of 544,422,275,715,264 is 1231058400.
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 422 x 275 x 715 x 264 = 11916645312000
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
422 : 1, 2, 211, 422
275 : 1, 5, 11, 25, 55, 275
715 : 1, 5, 11, 13, 55, 65, 143, 715
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,422,275,715,264, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
422:2x 211
275:5x 5x 11
715:5x 11x 13
264:2x 2x 2x 3x 11
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 2x 2x 5x 11x 11 = 9680
Therefore, the value for common factors is 9680.
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 = 11916645312000/(1x9680)
LCM = 11916645312000/9680
LCM = 1231058400
Thus, we can understand that the LCM of 544,422,275,715,264 is 1231058400.
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FAQs on LCM of 544, 422, 275, 715, 264
1. What is the LCM of 544, 422, 275, 715, 264?
Answer: LCM of 544, 422, 275, 715, 264 is 1231058400.
2. How to calculate the LCM of 544, 422, 275, 715, 264?
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, 422, 275, 715, 264.
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}.