LCM of 654, 187, 289, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 187, 289, 506 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 654, 187, 289, 506. So, keep reading to learn more.
Given numbers are 654,187,289,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,187,289,506 is 47818518.
Find LCM of 654,187,289,506 with Prime Factorization
| 2 | 654, 187, 289, 506 |
| 11 | 327, 187, 289, 253 |
| 17 | 327, 17, 289, 23 |
| 327, 1, 17, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 327 x 1 x 17 x 23 = 47818518
Therefore, the lowest common multiple of 654,187,289,506 is 47818518.
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.
654 x 187 x 289 x 506 = 17884125732
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
187 : 1, 11, 17, 187
289 : 1, 17, 289
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,187,289,506, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
187:11x 17
289:17x 17
506:2x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 17884125732/(1x374)
LCM = 17884125732/374
LCM = 47818518
Thus, we can understand that the LCM of 654,187,289,506 is 47818518.
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FAQs on LCM of 654, 187, 289, 506
1. What is the LCM of 654, 187, 289, 506?
Answer: LCM of 654, 187, 289, 506 is 47818518.
2. How to calculate the LCM of 654, 187, 289, 506?
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 654, 187, 289, 506.
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}.