LCM of 946, 216, 420, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 216, 420, 589 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 946, 216, 420, 589. So, keep reading to learn more.
Given numbers are 946,216,420,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,216,420,589 is 2106193320.
Find LCM of 946,216,420,589 with Prime Factorization
| 2 | 946, 216, 420, 589 |
| 2 | 473, 108, 210, 589 |
| 3 | 473, 54, 105, 589 |
| 473, 18, 35, 589 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 473 x 18 x 35 x 589 = 2106193320
Therefore, the lowest common multiple of 946,216,420,589 is 2106193320.
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.
946 x 216 x 420 x 589 = 50548639680
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
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
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,216,420,589, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
216:2x 2x 2x 3x 3x 3
420:2x 2x 3x 5x 7
589:19x 31
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 3 = 24
Therefore, the value for common factors is 24.
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 = 50548639680/(1x24)
LCM = 50548639680/24
LCM = 2106193320
Thus, we can understand that the LCM of 946,216,420,589 is 2106193320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 946, 216, 420, 589
1. What is the LCM of 946, 216, 420, 589?
Answer: LCM of 946, 216, 420, 589 is 2106193320.
2. How to calculate the LCM of 946, 216, 420, 589?
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 946, 216, 420, 589.
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}.