LCM of 105, 339, 509, 948, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 339, 509, 948, 994 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 105, 339, 509, 948, 994. So, keep reading to learn more.
Given numbers are 105,339,509,948,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,339,509,948,994 is 135497398260.
Find LCM of 105,339,509,948,994 with Prime Factorization
| 2 | 105, 339, 509, 948, 994 |
| 3 | 105, 339, 509, 474, 497 |
| 7 | 35, 113, 509, 158, 497 |
| 5, 113, 509, 158, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 5 x 113 x 509 x 158 x 71 = 135497398260
Therefore, the lowest common multiple of 105,339,509,948,994 is 135497398260.
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.
105 x 339 x 509 x 948 x 994 = 17072672180760
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
339 : 1, 3, 113, 339
509 : 1, 509
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,339,509,948,994, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
339:3x 113
509:509
948:2x 2x 3x 79
994:2x 7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 17072672180760/(1x126)
LCM = 17072672180760/126
LCM = 135497398260
Thus, we can understand that the LCM of 105,339,509,948,994 is 135497398260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 339, 509, 948, 994
1. What is the LCM of 105, 339, 509, 948, 994?
Answer: LCM of 105, 339, 509, 948, 994 is 135497398260.
2. How to calculate the LCM of 105, 339, 509, 948, 994?
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 105, 339, 509, 948, 994.
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}.