LCM of 308, 852, 987, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 852, 987, 409 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, 852, 987, 409. So, keep reading to learn more.
Given numbers are 308,852,987,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,852,987,409 is 1261105692.
Find LCM of 308,852,987,409 with Prime Factorization
| 2 | 308, 852, 987, 409 |
| 2 | 154, 426, 987, 409 |
| 3 | 77, 213, 987, 409 |
| 7 | 77, 71, 329, 409 |
| 11, 71, 47, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 71 x 47 x 409 = 1261105692
Therefore, the lowest common multiple of 308,852,987,409 is 1261105692.
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 852 x 987 x 409 = 105932878128
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
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
987 : 1, 3, 7, 21, 47, 141, 329, 987
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,852,987,409, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
852:2x 2x 3x 71
987:3x 7x 47
409:409
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 105932878128/(1x84)
LCM = 105932878128/84
LCM = 1261105692
Thus, we can understand that the LCM of 308,852,987,409 is 1261105692.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 308, 852, 987, 409
1. What is the LCM of 308, 852, 987, 409?
Answer: LCM of 308, 852, 987, 409 is 1261105692.
2. How to calculate the LCM of 308, 852, 987, 409?
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, 852, 987, 409.
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}.