LCM of 559, 540, 949, 225, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 540, 949, 225, 762 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 559, 540, 949, 225, 762. So, keep reading to learn more.
Given numbers are 559,540,949,225,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,540,949,225,762 is 13992720300.
Find LCM of 559,540,949,225,762 with Prime Factorization
| 2 | 559, 540, 949, 225, 762 |
| 3 | 559, 270, 949, 225, 381 |
| 3 | 559, 90, 949, 75, 127 |
| 5 | 559, 30, 949, 25, 127 |
| 13 | 559, 6, 949, 5, 127 |
| 43, 6, 73, 5, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 43 x 6 x 73 x 5 x 127 = 13992720300
Therefore, the lowest common multiple of 559,540,949,225,762 is 13992720300.
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.
559 x 540 x 949 x 225 x 762 = 49114448253000
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.
559 : 1, 13, 43, 559
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
949 : 1, 13, 73, 949
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,540,949,225,762, is 1.
Now, the common factors can be found like this.
559:13x 43
540:2x 2x 3x 3x 3x 5
949:13x 73
225:3x 3x 5x 5
762:2x 3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 13 = 3510
Therefore, the value for common factors is 3510.
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 = 49114448253000/(1x3510)
LCM = 49114448253000/3510
LCM = 13992720300
Thus, we can understand that the LCM of 559,540,949,225,762 is 13992720300.
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FAQs on LCM of 559, 540, 949, 225, 762
1. What is the LCM of 559, 540, 949, 225, 762?
Answer: LCM of 559, 540, 949, 225, 762 is 13992720300.
2. How to calculate the LCM of 559, 540, 949, 225, 762?
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 559, 540, 949, 225, 762.
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}.