LCM of 188, 765, 507, 221, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 765, 507, 221, 969 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 188, 765, 507, 221, 969. So, keep reading to learn more.
Given numbers are 188,765,507,221,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,765,507,221,969 is 461806020.
Find LCM of 188,765,507,221,969 with Prime Factorization
| 3 | 188, 765, 507, 221, 969 |
| 13 | 188, 255, 169, 221, 323 |
| 17 | 188, 255, 13, 17, 323 |
| 188, 15, 13, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 188 x 15 x 13 x 1 x 19 = 461806020
Therefore, the lowest common multiple of 188,765,507,221,969 is 461806020.
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.
188 x 765 x 507 x 221 x 969 = 15615046954260
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.
188 : 1, 2, 4, 47, 94, 188
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
507 : 1, 3, 13, 39, 169, 507
221 : 1, 13, 17, 221
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,765,507,221,969, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
765:3x 3x 5x 17
507:3x 13x 13
221:13x 17
969:3x 17x 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 3x 13x 17x 17 = 33813
Therefore, the value for common factors is 33813.
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 = 15615046954260/(1x33813)
LCM = 15615046954260/33813
LCM = 461806020
Thus, we can understand that the LCM of 188,765,507,221,969 is 461806020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 188, 765, 507, 221, 969
1. What is the LCM of 188, 765, 507, 221, 969?
Answer: LCM of 188, 765, 507, 221, 969 is 461806020.
2. How to calculate the LCM of 188, 765, 507, 221, 969?
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 188, 765, 507, 221, 969.
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}.