LCM of 242, 268, 319, 698, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 268, 319, 698, 899 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 242, 268, 319, 698, 899. So, keep reading to learn more.
Given numbers are 242,268,319,698,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,268,319,698,899 is 10174317428.
Find LCM of 242,268,319,698,899 with Prime Factorization
| 2 | 242, 268, 319, 698, 899 |
| 11 | 121, 134, 319, 349, 899 |
| 29 | 11, 134, 29, 349, 899 |
| 11, 134, 1, 349, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 11 x 134 x 1 x 349 x 31 = 10174317428
Therefore, the lowest common multiple of 242,268,319,698,899 is 10174317428.
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.
242 x 268 x 319 x 698 x 899 = 12982429038128
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.
242 : 1, 2, 11, 22, 121, 242
268 : 1, 2, 4, 67, 134, 268
319 : 1, 11, 29, 319
698 : 1, 2, 349, 698
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,268,319,698,899, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
268:2x 2x 67
319:11x 29
698:2x 349
899:29x 31
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 11x 29 = 1276
Therefore, the value for common factors is 1276.
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 = 12982429038128/(1x1276)
LCM = 12982429038128/1276
LCM = 10174317428
Thus, we can understand that the LCM of 242,268,319,698,899 is 10174317428.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 242, 268, 319, 698, 899
1. What is the LCM of 242, 268, 319, 698, 899?
Answer: LCM of 242, 268, 319, 698, 899 is 10174317428.
2. How to calculate the LCM of 242, 268, 319, 698, 899?
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 242, 268, 319, 698, 899.
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}.