LCM of 307, 436, 824, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 436, 824, 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 307, 436, 824, 309. So, keep reading to learn more.
Given numbers are 307,436,824,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,436,824,309 is 82720536.
Find LCM of 307,436,824,309 with Prime Factorization
| 2 | 307, 436, 824, 309 |
| 2 | 307, 218, 412, 309 |
| 103 | 307, 109, 206, 309 |
| 307, 109, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 103 x 307 x 109 x 2 x 3 = 82720536
Therefore, the lowest common multiple of 307,436,824,309 is 82720536.
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.
307 x 436 x 824 x 309 = 34080860832
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.
307 : 1, 307
436 : 1, 2, 4, 109, 218, 436
824 : 1, 2, 4, 8, 103, 206, 412, 824
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,436,824,309, is 1.
Now, the common factors can be found like this.
307:307
436:2x 2x 109
824:2x 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 103 = 412
Therefore, the value for common factors is 412.
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 = 34080860832/(1x412)
LCM = 34080860832/412
LCM = 82720536
Thus, we can understand that the LCM of 307,436,824,309 is 82720536.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 436, 824, 309
1. What is the LCM of 307, 436, 824, 309?
Answer: LCM of 307, 436, 824, 309 is 82720536.
2. How to calculate the LCM of 307, 436, 824, 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 307, 436, 824, 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}.