LCM of 590, 668, 240, 559, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 668, 240, 559, 847 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 590, 668, 240, 559, 847. So, keep reading to learn more.
Given numbers are 590,668,240,559,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,668,240,559,847 is 1119631072560.
Find LCM of 590,668,240,559,847 with Prime Factorization
| 2 | 590, 668, 240, 559, 847 |
| 2 | 295, 334, 120, 559, 847 |
| 5 | 295, 167, 60, 559, 847 |
| 59, 167, 12, 559, 847 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 59 x 167 x 12 x 559 x 847 = 1119631072560
Therefore, the lowest common multiple of 590,668,240,559,847 is 1119631072560.
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.
590 x 668 x 240 x 559 x 847 = 44785242902400
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
668 : 1, 2, 4, 167, 334, 668
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
559 : 1, 13, 43, 559
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,668,240,559,847, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
668:2x 2x 167
240:2x 2x 2x 2x 3x 5
559:13x 43
847:7x 11x 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 5 = 40
Therefore, the value for common factors is 40.
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 = 44785242902400/(1x40)
LCM = 44785242902400/40
LCM = 1119631072560
Thus, we can understand that the LCM of 590,668,240,559,847 is 1119631072560.
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FAQs on LCM of 590, 668, 240, 559, 847
1. What is the LCM of 590, 668, 240, 559, 847?
Answer: LCM of 590, 668, 240, 559, 847 is 1119631072560.
2. How to calculate the LCM of 590, 668, 240, 559, 847?
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 590, 668, 240, 559, 847.
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}.