LCM of 981, 218, 364, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 218, 364, 702 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 981, 218, 364, 702. So, keep reading to learn more.
Given numbers are 981,218,364,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,218,364,702 is 1071252.
Find LCM of 981,218,364,702 with Prime Factorization
| 2 | 981, 218, 364, 702 |
| 3 | 981, 109, 182, 351 |
| 3 | 327, 109, 182, 117 |
| 13 | 109, 109, 182, 39 |
| 109 | 109, 109, 14, 3 |
| 1, 1, 14, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 109 x 1 x 1 x 14 x 3 = 1071252
Therefore, the lowest common multiple of 981,218,364,702 is 1071252.
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.
981 x 218 x 364 x 702 = 54646707024
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.
981 : 1, 3, 9, 109, 327, 981
218 : 1, 2, 109, 218
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,218,364,702, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
218:2x 109
364:2x 2x 7x 13
702:2x 3x 3x 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 3x 3x 13x 109 = 51012
Therefore, the value for common factors is 51012.
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 = 54646707024/(1x51012)
LCM = 54646707024/51012
LCM = 1071252
Thus, we can understand that the LCM of 981,218,364,702 is 1071252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 981, 218, 364, 702
1. What is the LCM of 981, 218, 364, 702?
Answer: LCM of 981, 218, 364, 702 is 1071252.
2. How to calculate the LCM of 981, 218, 364, 702?
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 981, 218, 364, 702.
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}.