LCM of 756, 697, 272, 447, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 697, 272, 447, 209 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 756, 697, 272, 447, 209. So, keep reading to learn more.
Given numbers are 756,697,272,447,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,697,272,447,209 is 65636757648.
Find LCM of 756,697,272,447,209 with Prime Factorization
| 2 | 756, 697, 272, 447, 209 |
| 2 | 378, 697, 136, 447, 209 |
| 3 | 189, 697, 68, 447, 209 |
| 17 | 63, 697, 68, 149, 209 |
| 63, 41, 4, 149, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 63 x 41 x 4 x 149 x 209 = 65636757648
Therefore, the lowest common multiple of 756,697,272,447,209 is 65636757648.
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.
756 x 697 x 272 x 447 x 209 = 13389898560192
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.
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
697 : 1, 17, 41, 697
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
447 : 1, 3, 149, 447
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,697,272,447,209, is 1.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
697:17x 41
272:2x 2x 2x 2x 17
447:3x 149
209:11x 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 3x 17 = 204
Therefore, the value for common factors is 204.
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 = 13389898560192/(1x204)
LCM = 13389898560192/204
LCM = 65636757648
Thus, we can understand that the LCM of 756,697,272,447,209 is 65636757648.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 756, 697, 272, 447, 209
1. What is the LCM of 756, 697, 272, 447, 209?
Answer: LCM of 756, 697, 272, 447, 209 is 65636757648.
2. How to calculate the LCM of 756, 697, 272, 447, 209?
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 756, 697, 272, 447, 209.
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}.