LCM of 101, 985, 394, 833, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 985, 394, 833, 308 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 101, 985, 394, 833, 308. So, keep reading to learn more.
Given numbers are 101,985,394,833,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,985,394,833,308 is 3646324220.
Find LCM of 101,985,394,833,308 with Prime Factorization
| 2 | 101, 985, 394, 833, 308 |
| 7 | 101, 985, 197, 833, 154 |
| 197 | 101, 985, 197, 119, 22 |
| 101, 5, 1, 119, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 197 x 101 x 5 x 1 x 119 x 22 = 3646324220
Therefore, the lowest common multiple of 101,985,394,833,308 is 3646324220.
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.
101 x 985 x 394 x 833 x 308 = 10056562198760
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.
101 : 1, 101
985 : 1, 5, 197, 985
394 : 1, 2, 197, 394
833 : 1, 7, 17, 49, 119, 833
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,985,394,833,308, is 1.
Now, the common factors can be found like this.
101:101
985:5x 197
394:2x 197
833:7x 7x 17
308:2x 2x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 197 = 2758
Therefore, the value for common factors is 2758.
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 = 10056562198760/(1x2758)
LCM = 10056562198760/2758
LCM = 3646324220
Thus, we can understand that the LCM of 101,985,394,833,308 is 3646324220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 101, 985, 394, 833, 308
1. What is the LCM of 101, 985, 394, 833, 308?
Answer: LCM of 101, 985, 394, 833, 308 is 3646324220.
2. How to calculate the LCM of 101, 985, 394, 833, 308?
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 101, 985, 394, 833, 308.
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}.