LCM of 590, 420, 216, 118
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 420, 216, 118 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, 420, 216, 118. So, keep reading to learn more.
Given numbers are 590,420,216,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,420,216,118 is 446040.
Find LCM of 590,420,216,118 with Prime Factorization
| 2 | 590, 420, 216, 118 |
| 2 | 295, 210, 108, 59 |
| 3 | 295, 105, 54, 59 |
| 5 | 295, 35, 18, 59 |
| 59 | 59, 7, 18, 59 |
| 1, 7, 18, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 59 x 1 x 7 x 18 x 1 = 446040
Therefore, the lowest common multiple of 590,420,216,118 is 446040.
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 420 x 216 x 118 = 6315926400
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
118 : 1, 2, 59, 118
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,420,216,118, is 2.
Now, the common factors can be found like this.
590:2x 5x 59
420:2x 2x 3x 5x 7
216:2x 2x 2x 3x 3x 3
118:2x 59
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 3x 5x 59 = 7080
Therefore, the value for common factors is 7080.
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 = 6315926400/(2x7080)
LCM = 6315926400/14160
LCM = 446040
Thus, we can understand that the LCM of 590,420,216,118 is 446040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 590, 420, 216, 118
1. What is the LCM of 590, 420, 216, 118?
Answer: LCM of 590, 420, 216, 118 is 446040.
2. How to calculate the LCM of 590, 420, 216, 118?
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, 420, 216, 118.
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}.