LCM of 654, 598, 527, 578, 237
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 598, 527, 578, 237 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, 598, 527, 578, 237. So, keep reading to learn more.
Given numbers are 654,598,527,578,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,598,527,578,237 is 138399832506.
Find LCM of 654,598,527,578,237 with Prime Factorization
| 2 | 654, 598, 527, 578, 237 |
| 3 | 327, 299, 527, 289, 237 |
| 17 | 109, 299, 527, 289, 79 |
| 109, 299, 31, 17, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 109 x 299 x 31 x 17 x 79 = 138399832506
Therefore, the lowest common multiple of 654,598,527,578,237 is 138399832506.
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 598 x 527 x 578 x 237 = 28233565831224
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
598 : 1, 2, 13, 23, 26, 46, 299, 598
527 : 1, 17, 31, 527
578 : 1, 2, 17, 34, 289, 578
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,598,527,578,237, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
598:2x 13x 23
527:17x 31
578:2x 17x 17
237:3x 79
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 = 28233565831224/(1x204)
LCM = 28233565831224/204
LCM = 138399832506
Thus, we can understand that the LCM of 654,598,527,578,237 is 138399832506.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 654, 598, 527, 578, 237
1. What is the LCM of 654, 598, 527, 578, 237?
Answer: LCM of 654, 598, 527, 578, 237 is 138399832506.
2. How to calculate the LCM of 654, 598, 527, 578, 237?
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, 598, 527, 578, 237.
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}.