LCM of 227, 312, 965, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 312, 965, 210 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 227, 312, 965, 210. So, keep reading to learn more.
Given numbers are 227,312,965,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,312,965,210 is 478416120.
Find LCM of 227,312,965,210 with Prime Factorization
| 2 | 227, 312, 965, 210 |
| 3 | 227, 156, 965, 105 |
| 5 | 227, 52, 965, 35 |
| 227, 52, 193, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 227 x 52 x 193 x 7 = 478416120
Therefore, the lowest common multiple of 227,312,965,210 is 478416120.
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.
227 x 312 x 965 x 210 = 14352483600
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.
227 : 1, 227
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
965 : 1, 5, 193, 965
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,312,965,210, is 1.
Now, the common factors can be found like this.
227:227
312:2x 2x 2x 3x 13
965:5x 193
210:2x 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 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 14352483600/(1x30)
LCM = 14352483600/30
LCM = 478416120
Thus, we can understand that the LCM of 227,312,965,210 is 478416120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 312, 965, 210
1. What is the LCM of 227, 312, 965, 210?
Answer: LCM of 227, 312, 965, 210 is 478416120.
2. How to calculate the LCM of 227, 312, 965, 210?
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 227, 312, 965, 210.
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}.