LCM of 589, 327, 310, 316, 237
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 327, 310, 316, 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 589, 327, 310, 316, 237. So, keep reading to learn more.
Given numbers are 589,327,310,316,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,327,310,316,237 is 304312740.
Find LCM of 589,327,310,316,237 with Prime Factorization
| 2 | 589, 327, 310, 316, 237 |
| 3 | 589, 327, 155, 158, 237 |
| 31 | 589, 109, 155, 158, 79 |
| 79 | 19, 109, 5, 158, 79 |
| 19, 109, 5, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 79 x 19 x 109 x 5 x 2 x 1 = 304312740
Therefore, the lowest common multiple of 589,327,310,316,237 is 304312740.
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.
589 x 327 x 310 x 316 x 237 = 4471571401560
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.
589 : 1, 19, 31, 589
327 : 1, 3, 109, 327
310 : 1, 2, 5, 10, 31, 62, 155, 310
316 : 1, 2, 4, 79, 158, 316
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,327,310,316,237, is 1.
Now, the common factors can be found like this.
589:19x 31
327:3x 109
310:2x 5x 31
316:2x 2x 79
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 3x 31x 79 = 14694
Therefore, the value for common factors is 14694.
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 = 4471571401560/(1x14694)
LCM = 4471571401560/14694
LCM = 304312740
Thus, we can understand that the LCM of 589,327,310,316,237 is 304312740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 327, 310, 316, 237
1. What is the LCM of 589, 327, 310, 316, 237?
Answer: LCM of 589, 327, 310, 316, 237 is 304312740.
2. How to calculate the LCM of 589, 327, 310, 316, 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 589, 327, 310, 316, 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}.