LCM of 984, 208, 429, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 208, 429, 312 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 984, 208, 429, 312. So, keep reading to learn more.
Given numbers are 984,208,429,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,208,429,312 is 281424.
Find LCM of 984,208,429,312 with Prime Factorization
| 2 | 984, 208, 429, 312 |
| 2 | 492, 104, 429, 156 |
| 2 | 246, 52, 429, 78 |
| 3 | 123, 26, 429, 39 |
| 13 | 41, 26, 143, 13 |
| 41, 2, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 41 x 2 x 11 x 1 = 281424
Therefore, the lowest common multiple of 984,208,429,312 is 281424.
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.
984 x 208 x 429 x 312 = 27394937856
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
429 : 1, 3, 11, 13, 33, 39, 143, 429
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,208,429,312, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
208:2x 2x 2x 2x 13
429:3x 11x 13
312:2x 2x 2x 3x 13
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 2x 2x 2x 2x 3x 3x 13x 13 = 97344
Therefore, the value for common factors is 97344.
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 = 27394937856/(1x97344)
LCM = 27394937856/97344
LCM = 281424
Thus, we can understand that the LCM of 984,208,429,312 is 281424.
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FAQs on LCM of 984, 208, 429, 312
1. What is the LCM of 984, 208, 429, 312?
Answer: LCM of 984, 208, 429, 312 is 281424.
2. How to calculate the LCM of 984, 208, 429, 312?
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 984, 208, 429, 312.
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}.