LCM of 319, 401, 253, 765, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 401, 253, 765, 114 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 319, 401, 253, 765, 114. So, keep reading to learn more.
Given numbers are 319,401,253,765,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,401,253,765,114 is 85527922590.
Find LCM of 319,401,253,765,114 with Prime Factorization
| 3 | 319, 401, 253, 765, 114 |
| 11 | 319, 401, 253, 255, 38 |
| 29, 401, 23, 255, 38 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 29 x 401 x 23 x 255 x 38 = 85527922590
Therefore, the lowest common multiple of 319,401,253,765,114 is 85527922590.
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.
319 x 401 x 253 x 765 x 114 = 2822421445470
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.
319 : 1, 11, 29, 319
401 : 1, 401
253 : 1, 11, 23, 253
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,401,253,765,114, is 1.
Now, the common factors can be found like this.
319:11x 29
401:401
253:11x 23
765:3x 3x 5x 17
114:2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 2822421445470/(1x33)
LCM = 2822421445470/33
LCM = 85527922590
Thus, we can understand that the LCM of 319,401,253,765,114 is 85527922590.
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FAQs on LCM of 319, 401, 253, 765, 114
1. What is the LCM of 319, 401, 253, 765, 114?
Answer: LCM of 319, 401, 253, 765, 114 is 85527922590.
2. How to calculate the LCM of 319, 401, 253, 765, 114?
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 319, 401, 253, 765, 114.
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}.