LCM of 247, 795, 836, 511, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 795, 836, 511, 950 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 247, 795, 836, 511, 950. So, keep reading to learn more.
Given numbers are 247,795,836,511,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,795,836,511,950 is 22075353300.
Find LCM of 247,795,836,511,950 with Prime Factorization
| 2 | 247, 795, 836, 511, 950 |
| 5 | 247, 795, 418, 511, 475 |
| 19 | 247, 159, 418, 511, 95 |
| 13, 159, 22, 511, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 13 x 159 x 22 x 511 x 5 = 22075353300
Therefore, the lowest common multiple of 247,795,836,511,950 is 22075353300.
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.
247 x 795 x 836 x 511 x 950 = 79692025413000
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.
247 : 1, 13, 19, 247
795 : 1, 3, 5, 15, 53, 159, 265, 795
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
511 : 1, 7, 73, 511
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,795,836,511,950, is 1.
Now, the common factors can be found like this.
247:13x 19
795:3x 5x 53
836:2x 2x 11x 19
511:7x 73
950:2x 5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19x 19 = 3610
Therefore, the value for common factors is 3610.
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 = 79692025413000/(1x3610)
LCM = 79692025413000/3610
LCM = 22075353300
Thus, we can understand that the LCM of 247,795,836,511,950 is 22075353300.
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FAQs on LCM of 247, 795, 836, 511, 950
1. What is the LCM of 247, 795, 836, 511, 950?
Answer: LCM of 247, 795, 836, 511, 950 is 22075353300.
2. How to calculate the LCM of 247, 795, 836, 511, 950?
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 247, 795, 836, 511, 950.
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}.