LCM of 139, 481, 481, 984, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 481, 481, 984, 956 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 139, 481, 481, 984, 956. So, keep reading to learn more.
Given numbers are 139,481,481,984,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,481,481,984,956 is 15723632184.
Find LCM of 139,481,481,984,956 with Prime Factorization
| 2 | 139, 481, 481, 984, 956 |
| 2 | 139, 481, 481, 492, 478 |
| 13 | 139, 481, 481, 246, 239 |
| 37 | 139, 37, 37, 246, 239 |
| 139, 1, 1, 246, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 37 x 139 x 1 x 1 x 246 x 239 = 15723632184
Therefore, the lowest common multiple of 139,481,481,984,956 is 15723632184.
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.
139 x 481 x 481 x 984 x 956 = 30252268322016
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.
139 : 1, 139
481 : 1, 13, 37, 481
481 : 1, 13, 37, 481
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,481,481,984,956, is 1.
Now, the common factors can be found like this.
139:139
481:13x 37
481:13x 37
984:2x 2x 2x 3x 41
956:2x 2x 239
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 13x 37 = 1924
Therefore, the value for common factors is 1924.
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 = 30252268322016/(1x1924)
LCM = 30252268322016/1924
LCM = 15723632184
Thus, we can understand that the LCM of 139,481,481,984,956 is 15723632184.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 139, 481, 481, 984, 956
1. What is the LCM of 139, 481, 481, 984, 956?
Answer: LCM of 139, 481, 481, 984, 956 is 15723632184.
2. How to calculate the LCM of 139, 481, 481, 984, 956?
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 139, 481, 481, 984, 956.
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}.