LCM of 297, 306, 529, 781, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 306, 529, 781, 302 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 297, 306, 529, 781, 302. So, keep reading to learn more.
Given numbers are 297,306,529,781,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,306,529,781,302 is 57269888082.
Find LCM of 297,306,529,781,302 with Prime Factorization
| 2 | 297, 306, 529, 781, 302 |
| 3 | 297, 153, 529, 781, 151 |
| 3 | 99, 51, 529, 781, 151 |
| 11 | 33, 17, 529, 781, 151 |
| 3, 17, 529, 71, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 3 x 17 x 529 x 71 x 151 = 57269888082
Therefore, the lowest common multiple of 297,306,529,781,302 is 57269888082.
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.
297 x 306 x 529 x 781 x 302 = 11339437840236
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
529 : 1, 23, 529
781 : 1, 11, 71, 781
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,306,529,781,302, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
306:2x 3x 3x 17
529:23x 23
781:11x 71
302:2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 11339437840236/(1x198)
LCM = 11339437840236/198
LCM = 57269888082
Thus, we can understand that the LCM of 297,306,529,781,302 is 57269888082.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 297, 306, 529, 781, 302
1. What is the LCM of 297, 306, 529, 781, 302?
Answer: LCM of 297, 306, 529, 781, 302 is 57269888082.
2. How to calculate the LCM of 297, 306, 529, 781, 302?
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 297, 306, 529, 781, 302.
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}.