LCM of 484, 564, 705, 559, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 564, 705, 559, 440 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 484, 564, 705, 559, 440. So, keep reading to learn more.
Given numbers are 484,564,705,559,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,564,705,559,440 is 381483960.
Find LCM of 484,564,705,559,440 with Prime Factorization
| 2 | 484, 564, 705, 559, 440 |
| 2 | 242, 282, 705, 559, 220 |
| 3 | 121, 141, 705, 559, 110 |
| 5 | 121, 47, 235, 559, 110 |
| 11 | 121, 47, 47, 559, 22 |
| 47 | 11, 47, 47, 559, 2 |
| 11, 1, 1, 559, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 47 x 11 x 1 x 1 x 559 x 2 = 381483960
Therefore, the lowest common multiple of 484,564,705,559,440 is 381483960.
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.
484 x 564 x 705 x 559 x 440 = 47334529756800
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
705 : 1, 3, 5, 15, 47, 141, 235, 705
559 : 1, 13, 43, 559
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,564,705,559,440, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
564:2x 2x 3x 47
705:3x 5x 47
559:13x 43
440:2x 2x 2x 5x 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 3x 5x 11x 47 = 124080
Therefore, the value for common factors is 124080.
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 = 47334529756800/(1x124080)
LCM = 47334529756800/124080
LCM = 381483960
Thus, we can understand that the LCM of 484,564,705,559,440 is 381483960.
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FAQs on LCM of 484, 564, 705, 559, 440
1. What is the LCM of 484, 564, 705, 559, 440?
Answer: LCM of 484, 564, 705, 559, 440 is 381483960.
2. How to calculate the LCM of 484, 564, 705, 559, 440?
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 484, 564, 705, 559, 440.
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}.