LCM of 478, 744, 258, 123, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 744, 258, 123, 589 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 478, 744, 258, 123, 589. So, keep reading to learn more.
Given numbers are 478,744,258,123,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,744,258,123,589 is 5956302552.
Find LCM of 478,744,258,123,589 with Prime Factorization
| 2 | 478, 744, 258, 123, 589 |
| 3 | 239, 372, 129, 123, 589 |
| 31 | 239, 124, 43, 41, 589 |
| 239, 4, 43, 41, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 239 x 4 x 43 x 41 x 19 = 5956302552
Therefore, the lowest common multiple of 478,744,258,123,589 is 5956302552.
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.
478 x 744 x 258 x 123 x 589 = 6647233648032
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.
478 : 1, 2, 239, 478
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
258 : 1, 2, 3, 6, 43, 86, 129, 258
123 : 1, 3, 41, 123
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,744,258,123,589, is 1.
Now, the common factors can be found like this.
478:2x 239
744:2x 2x 2x 3x 31
258:2x 3x 43
123:3x 41
589:19x 31
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 3x 31 = 1116
Therefore, the value for common factors is 1116.
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 = 6647233648032/(1x1116)
LCM = 6647233648032/1116
LCM = 5956302552
Thus, we can understand that the LCM of 478,744,258,123,589 is 5956302552.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 478, 744, 258, 123, 589
1. What is the LCM of 478, 744, 258, 123, 589?
Answer: LCM of 478, 744, 258, 123, 589 is 5956302552.
2. How to calculate the LCM of 478, 744, 258, 123, 589?
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 478, 744, 258, 123, 589.
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}.