LCM of 589, 678, 374, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 678, 374, 264 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, 678, 374, 264. So, keep reading to learn more.
Given numbers are 589,678,374,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,678,374,264 is 298707816.
Find LCM of 589,678,374,264 with Prime Factorization
| 2 | 589, 678, 374, 264 |
| 3 | 589, 339, 187, 132 |
| 11 | 589, 113, 187, 44 |
| 589, 113, 17, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 589 x 113 x 17 x 4 = 298707816
Therefore, the lowest common multiple of 589,678,374,264 is 298707816.
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 678 x 374 x 264 = 39429431712
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
678 : 1, 2, 3, 6, 113, 226, 339, 678
374 : 1, 2, 11, 17, 22, 34, 187, 374
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,678,374,264, is 1.
Now, the common factors can be found like this.
589:19x 31
678:2x 3x 113
374:2x 11x 17
264:2x 2x 2x 3x 11
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 11 = 132
Therefore, the value for common factors is 132.
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 = 39429431712/(1x132)
LCM = 39429431712/132
LCM = 298707816
Thus, we can understand that the LCM of 589,678,374,264 is 298707816.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 678, 374, 264
1. What is the LCM of 589, 678, 374, 264?
Answer: LCM of 589, 678, 374, 264 is 298707816.
2. How to calculate the LCM of 589, 678, 374, 264?
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, 678, 374, 264.
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}.