LCM of 861, 418, 420, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 418, 420, 220 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 861, 418, 420, 220. So, keep reading to learn more.
Given numbers are 861,418,420,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,418,420,220 is 3598980.
Find LCM of 861,418,420,220 with Prime Factorization
| 2 | 861, 418, 420, 220 |
| 2 | 861, 209, 210, 110 |
| 3 | 861, 209, 105, 55 |
| 5 | 287, 209, 35, 55 |
| 7 | 287, 209, 7, 11 |
| 11 | 41, 209, 1, 11 |
| 41, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 41 x 19 x 1 x 1 = 3598980
Therefore, the lowest common multiple of 861,418,420,220 is 3598980.
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.
861 x 418 x 420 x 220 = 33254575200
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
418 : 1, 2, 11, 19, 22, 38, 209, 418
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
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,418,420,220, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
418:2x 11x 19
420:2x 2x 3x 5x 7
220:2x 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 3x 5x 7x 11 = 9240
Therefore, the value for common factors is 9240.
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 = 33254575200/(1x9240)
LCM = 33254575200/9240
LCM = 3598980
Thus, we can understand that the LCM of 861,418,420,220 is 3598980.
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FAQs on LCM of 861, 418, 420, 220
1. What is the LCM of 861, 418, 420, 220?
Answer: LCM of 861, 418, 420, 220 is 3598980.
2. How to calculate the LCM of 861, 418, 420, 220?
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 861, 418, 420, 220.
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}.