LCM of 220, 824, 412, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 824, 412, 309 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 220, 824, 412, 309. So, keep reading to learn more.
Given numbers are 220,824,412,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,824,412,309 is 135960.
Find LCM of 220,824,412,309 with Prime Factorization
| 2 | 220, 824, 412, 309 |
| 2 | 110, 412, 206, 309 |
| 103 | 55, 103, 206, 309 |
| 55, 1, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 103 x 55 x 1 x 2 x 3 = 135960
Therefore, the lowest common multiple of 220,824,412,309 is 135960.
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.
220 x 824 x 412 x 309 = 23078394240
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
824 : 1, 2, 4, 8, 103, 206, 412, 824
412 : 1, 2, 4, 103, 206, 412
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,824,412,309, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
824:2x 2x 2x 103
412:2x 2x 103
309:3x 103
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 103x 103 = 169744
Therefore, the value for common factors is 169744.
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 = 23078394240/(1x169744)
LCM = 23078394240/169744
LCM = 135960
Thus, we can understand that the LCM of 220,824,412,309 is 135960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 220, 824, 412, 309
1. What is the LCM of 220, 824, 412, 309?
Answer: LCM of 220, 824, 412, 309 is 135960.
2. How to calculate the LCM of 220, 824, 412, 309?
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 220, 824, 412, 309.
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}.