LCM of 755, 995, 988, 242, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 995, 988, 242, 836 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 755, 995, 988, 242, 836. So, keep reading to learn more.
Given numbers are 755,995,988,242,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,995,988,242,836 is 17961489260.
Find LCM of 755,995,988,242,836 with Prime Factorization
| 2 | 755, 995, 988, 242, 836 |
| 2 | 755, 995, 494, 121, 418 |
| 5 | 755, 995, 247, 121, 209 |
| 11 | 151, 199, 247, 121, 209 |
| 19 | 151, 199, 247, 11, 19 |
| 151, 199, 13, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 19 x 151 x 199 x 13 x 11 x 1 = 17961489260
Therefore, the lowest common multiple of 755,995,988,242,836 is 17961489260.
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.
755 x 995 x 988 x 242 x 836 = 150158050213600
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.
755 : 1, 5, 151, 755
995 : 1, 5, 199, 995
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
242 : 1, 2, 11, 22, 121, 242
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,995,988,242,836, is 1.
Now, the common factors can be found like this.
755:5x 151
995:5x 199
988:2x 2x 13x 19
242:2x 11x 11
836:2x 2x 11x 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 2x 2x 5x 11x 19 = 8360
Therefore, the value for common factors is 8360.
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 = 150158050213600/(1x8360)
LCM = 150158050213600/8360
LCM = 17961489260
Thus, we can understand that the LCM of 755,995,988,242,836 is 17961489260.
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FAQs on LCM of 755, 995, 988, 242, 836
1. What is the LCM of 755, 995, 988, 242, 836?
Answer: LCM of 755, 995, 988, 242, 836 is 17961489260.
2. How to calculate the LCM of 755, 995, 988, 242, 836?
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 755, 995, 988, 242, 836.
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}.