LCM of 524, 459, 189, 391, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 459, 189, 391, 546 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 524, 459, 189, 391, 546. So, keep reading to learn more.
Given numbers are 524,459,189,391,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,459,189,391,546 is 503399988.
Find LCM of 524,459,189,391,546 with Prime Factorization
| 2 | 524, 459, 189, 391, 546 |
| 3 | 262, 459, 189, 391, 273 |
| 3 | 262, 153, 63, 391, 91 |
| 3 | 262, 51, 21, 391, 91 |
| 7 | 262, 17, 7, 391, 91 |
| 17 | 262, 17, 1, 391, 13 |
| 262, 1, 1, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 17 x 262 x 1 x 1 x 23 x 13 = 503399988
Therefore, the lowest common multiple of 524,459,189,391,546 is 503399988.
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.
524 x 459 x 189 x 391 x 546 = 9704544968664
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.
524 : 1, 2, 4, 131, 262, 524
459 : 1, 3, 9, 17, 27, 51, 153, 459
189 : 1, 3, 7, 9, 21, 27, 63, 189
391 : 1, 17, 23, 391
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,459,189,391,546, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
459:3x 3x 3x 17
189:3x 3x 3x 7
391:17x 23
546:2x 3x 7x 13
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 3x 3x 7x 17 = 19278
Therefore, the value for common factors is 19278.
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 = 9704544968664/(1x19278)
LCM = 9704544968664/19278
LCM = 503399988
Thus, we can understand that the LCM of 524,459,189,391,546 is 503399988.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 524, 459, 189, 391, 546
1. What is the LCM of 524, 459, 189, 391, 546?
Answer: LCM of 524, 459, 189, 391, 546 is 503399988.
2. How to calculate the LCM of 524, 459, 189, 391, 546?
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 524, 459, 189, 391, 546.
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}.