LCM of 231, 220, 283, 516, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 220, 283, 516, 420 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 231, 220, 283, 516, 420. So, keep reading to learn more.
Given numbers are 231,220,283,516,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,220,283,516,420 is 56220780.
Find LCM of 231,220,283,516,420 with Prime Factorization
| 2 | 231, 220, 283, 516, 420 |
| 2 | 231, 110, 283, 258, 210 |
| 3 | 231, 55, 283, 129, 105 |
| 5 | 77, 55, 283, 43, 35 |
| 7 | 77, 11, 283, 43, 7 |
| 11 | 11, 11, 283, 43, 1 |
| 1, 1, 283, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 1 x 1 x 283 x 43 x 1 = 56220780
Therefore, the lowest common multiple of 231,220,283,516,420 is 56220780.
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.
231 x 220 x 283 x 516 x 420 = 3116880043200
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
283 : 1, 283
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,220,283,516,420, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
220:2x 2x 5x 11
283:283
516:2x 2x 3x 43
420:2x 2x 3x 5x 7
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 2x 3x 3x 5x 7x 11 = 55440
Therefore, the value for common factors is 55440.
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 = 3116880043200/(1x55440)
LCM = 3116880043200/55440
LCM = 56220780
Thus, we can understand that the LCM of 231,220,283,516,420 is 56220780.
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FAQs on LCM of 231, 220, 283, 516, 420
1. What is the LCM of 231, 220, 283, 516, 420?
Answer: LCM of 231, 220, 283, 516, 420 is 56220780.
2. How to calculate the LCM of 231, 220, 283, 516, 420?
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 231, 220, 283, 516, 420.
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}.