LCM of 307, 454, 309, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 454, 309, 824 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, 454, 309, 824. So, keep reading to learn more.
Given numbers are 307,454,309,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,454,309,824 is 172271208.
Find LCM of 307,454,309,824 with Prime Factorization
| 2 | 307, 454, 309, 824 |
| 103 | 307, 227, 309, 412 |
| 307, 227, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 307 x 227 x 3 x 4 = 172271208
Therefore, the lowest common multiple of 307,454,309,824 is 172271208.
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 454 x 309 x 824 = 35487868848
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
454 : 1, 2, 227, 454
309 : 1, 3, 103, 309
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,454,309,824, is 1.
Now, the common factors can be found like this.
307:307
454:2x 227
309:3x 103
824:2x 2x 2x 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 103 = 206
Therefore, the value for common factors is 206.
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 = 35487868848/(1x206)
LCM = 35487868848/206
LCM = 172271208
Thus, we can understand that the LCM of 307,454,309,824 is 172271208.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 454, 309, 824
1. What is the LCM of 307, 454, 309, 824?
Answer: LCM of 307, 454, 309, 824 is 172271208.
2. How to calculate the LCM of 307, 454, 309, 824?
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, 454, 309, 824.
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}.