LCM of 139, 848, 789, 286, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 848, 789, 286, 951 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, 848, 789, 286, 951. So, keep reading to learn more.
Given numbers are 139,848,789,286,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,848,789,286,951 is 4215828693648.
Find LCM of 139,848,789,286,951 with Prime Factorization
| 2 | 139, 848, 789, 286, 951 |
| 3 | 139, 424, 789, 143, 951 |
| 139, 424, 263, 143, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 424 x 263 x 143 x 317 = 4215828693648
Therefore, the lowest common multiple of 139,848,789,286,951 is 4215828693648.
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 848 x 789 x 286 x 951 = 25294972161888
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
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
789 : 1, 3, 263, 789
286 : 1, 2, 11, 13, 22, 26, 143, 286
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,848,789,286,951, is 1.
Now, the common factors can be found like this.
139:139
848:2x 2x 2x 2x 53
789:3x 263
286:2x 11x 13
951:3x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 25294972161888/(1x6)
LCM = 25294972161888/6
LCM = 4215828693648
Thus, we can understand that the LCM of 139,848,789,286,951 is 4215828693648.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 139, 848, 789, 286, 951
1. What is the LCM of 139, 848, 789, 286, 951?
Answer: LCM of 139, 848, 789, 286, 951 is 4215828693648.
2. How to calculate the LCM of 139, 848, 789, 286, 951?
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, 848, 789, 286, 951.
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}.