LCM of 609, 754, 527, 884, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 754, 527, 884, 523 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 609, 754, 527, 884, 523. So, keep reading to learn more.
Given numbers are 609,754,527,884,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,754,527,884,523 is 8728365828.
Find LCM of 609,754,527,884,523 with Prime Factorization
| 2 | 609, 754, 527, 884, 523 |
| 13 | 609, 377, 527, 442, 523 |
| 17 | 609, 29, 527, 34, 523 |
| 29 | 609, 29, 31, 2, 523 |
| 21, 1, 31, 2, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 29 x 21 x 1 x 31 x 2 x 523 = 8728365828
Therefore, the lowest common multiple of 609,754,527,884,523 is 8728365828.
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.
609 x 754 x 527 x 884 x 523 = 111880193183304
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
754 : 1, 2, 13, 26, 29, 58, 377, 754
527 : 1, 17, 31, 527
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,754,527,884,523, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
754:2x 13x 29
527:17x 31
884:2x 2x 13x 17
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17x 29 = 12818
Therefore, the value for common factors is 12818.
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 = 111880193183304/(1x12818)
LCM = 111880193183304/12818
LCM = 8728365828
Thus, we can understand that the LCM of 609,754,527,884,523 is 8728365828.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 609, 754, 527, 884, 523
1. What is the LCM of 609, 754, 527, 884, 523?
Answer: LCM of 609, 754, 527, 884, 523 is 8728365828.
2. How to calculate the LCM of 609, 754, 527, 884, 523?
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 609, 754, 527, 884, 523.
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}.