LCM of 308, 527, 812, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 527, 812, 391 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 308, 527, 812, 391. So, keep reading to learn more.
Given numbers are 308,527,812,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,527,812,391 is 108264772.
Find LCM of 308,527,812,391 with Prime Factorization
| 2 | 308, 527, 812, 391 |
| 2 | 154, 527, 406, 391 |
| 7 | 77, 527, 203, 391 |
| 17 | 11, 527, 29, 391 |
| 11, 31, 29, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 11 x 31 x 29 x 23 = 108264772
Therefore, the lowest common multiple of 308,527,812,391 is 108264772.
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.
308 x 527 x 812 x 391 = 51534031472
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
527 : 1, 17, 31, 527
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,527,812,391, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
527:17x 31
812:2x 2x 7x 29
391:17x 23
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 7x 17 = 476
Therefore, the value for common factors is 476.
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 = 51534031472/(1x476)
LCM = 51534031472/476
LCM = 108264772
Thus, we can understand that the LCM of 308,527,812,391 is 108264772.
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FAQs on LCM of 308, 527, 812, 391
1. What is the LCM of 308, 527, 812, 391?
Answer: LCM of 308, 527, 812, 391 is 108264772.
2. How to calculate the LCM of 308, 527, 812, 391?
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 308, 527, 812, 391.
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}.