LCM of 670, 566, 304, 589, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 566, 304, 589, 884 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 670, 566, 304, 589, 884. So, keep reading to learn more.
Given numbers are 670,566,304,589,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,566,304,589,884 is 197450752720.
Find LCM of 670,566,304,589,884 with Prime Factorization
| 2 | 670, 566, 304, 589, 884 |
| 2 | 335, 283, 152, 589, 442 |
| 19 | 335, 283, 76, 589, 221 |
| 335, 283, 4, 31, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 335 x 283 x 4 x 31 x 221 = 197450752720
Therefore, the lowest common multiple of 670,566,304,589,884 is 197450752720.
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.
670 x 566 x 304 x 589 x 884 = 60025028826880
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
566 : 1, 2, 283, 566
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
589 : 1, 19, 31, 589
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,566,304,589,884, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
566:2x 283
304:2x 2x 2x 2x 19
589:19x 31
884:2x 2x 13x 17
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 2x 2x 19 = 304
Therefore, the value for common factors is 304.
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 = 60025028826880/(1x304)
LCM = 60025028826880/304
LCM = 197450752720
Thus, we can understand that the LCM of 670,566,304,589,884 is 197450752720.
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FAQs on LCM of 670, 566, 304, 589, 884
1. What is the LCM of 670, 566, 304, 589, 884?
Answer: LCM of 670, 566, 304, 589, 884 is 197450752720.
2. How to calculate the LCM of 670, 566, 304, 589, 884?
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 670, 566, 304, 589, 884.
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}.