LCM of 131, 948, 756, 858, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 131, 948, 756, 858, 993 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 131, 948, 756, 858, 993. So, keep reading to learn more.
Given numbers are 131,948,756,858,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,948,756,858,993 is 370326008052.
Find LCM of 131,948,756,858,993 with Prime Factorization
| 2 | 131, 948, 756, 858, 993 |
| 2 | 131, 474, 378, 429, 993 |
| 3 | 131, 237, 189, 429, 993 |
| 131, 79, 63, 143, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 131 x 79 x 63 x 143 x 331 = 370326008052
Therefore, the lowest common multiple of 131,948,756,858,993 is 370326008052.
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.
131 x 948 x 756 x 858 x 993 = 79990417739232
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.
131 : 1, 131
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,948,756,858,993, is 1.
Now, the common factors can be found like this.
131:131
948:2x 2x 3x 79
756:2x 2x 3x 3x 3x 7
858:2x 3x 11x 13
993:3x 331
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 79990417739232/(1x216)
LCM = 79990417739232/216
LCM = 370326008052
Thus, we can understand that the LCM of 131,948,756,858,993 is 370326008052.
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FAQs on LCM of 131, 948, 756, 858, 993
1. What is the LCM of 131, 948, 756, 858, 993?
Answer: LCM of 131, 948, 756, 858, 993 is 370326008052.
2. How to calculate the LCM of 131, 948, 756, 858, 993?
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 131, 948, 756, 858, 993.
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}.