LCM of 589, 354, 587, 666, 236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 354, 587, 666, 236 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, 354, 587, 666, 236. So, keep reading to learn more.
Given numbers are 589,354,587,666,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,354,587,666,236 is 27171250884.
Find LCM of 589,354,587,666,236 with Prime Factorization
| 2 | 589, 354, 587, 666, 236 |
| 3 | 589, 177, 587, 333, 118 |
| 59 | 589, 59, 587, 111, 118 |
| 589, 1, 587, 111, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 589 x 1 x 587 x 111 x 2 = 27171250884
Therefore, the lowest common multiple of 589,354,587,666,236 is 27171250884.
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 354 x 587 x 666 x 236 = 19237245625872
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
354 : 1, 2, 3, 6, 59, 118, 177, 354
587 : 1, 587
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
236 : 1, 2, 4, 59, 118, 236
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,354,587,666,236, is 1.
Now, the common factors can be found like this.
589:19x 31
354:2x 3x 59
587:587
666:2x 3x 3x 37
236:2x 2x 59
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 59 = 708
Therefore, the value for common factors is 708.
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 = 19237245625872/(1x708)
LCM = 19237245625872/708
LCM = 27171250884
Thus, we can understand that the LCM of 589,354,587,666,236 is 27171250884.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 354, 587, 666, 236
1. What is the LCM of 589, 354, 587, 666, 236?
Answer: LCM of 589, 354, 587, 666, 236 is 27171250884.
2. How to calculate the LCM of 589, 354, 587, 666, 236?
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, 354, 587, 666, 236.
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}.