LCM of 222, 609, 609, 766, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 609, 609, 766, 984 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 222, 609, 609, 766, 984. So, keep reading to learn more.
Given numbers are 222,609,609,766,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,609,609,766,984 is 2830685592.
Find LCM of 222,609,609,766,984 with Prime Factorization
| 2 | 222, 609, 609, 766, 984 |
| 3 | 111, 609, 609, 383, 492 |
| 7 | 37, 203, 203, 383, 164 |
| 29 | 37, 29, 29, 383, 164 |
| 37, 1, 1, 383, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 37 x 1 x 1 x 383 x 164 = 2830685592
Therefore, the lowest common multiple of 222,609,609,766,984 is 2830685592.
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.
222 x 609 x 609 x 766 x 984 = 62059950919008
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
609 : 1, 3, 7, 21, 29, 87, 203, 609
609 : 1, 3, 7, 21, 29, 87, 203, 609
766 : 1, 2, 383, 766
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,609,609,766,984, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
609:3x 7x 29
609:3x 7x 29
766:2x 383
984:2x 2x 2x 3x 41
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 3x 7x 29 = 21924
Therefore, the value for common factors is 21924.
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 = 62059950919008/(1x21924)
LCM = 62059950919008/21924
LCM = 2830685592
Thus, we can understand that the LCM of 222,609,609,766,984 is 2830685592.
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FAQs on LCM of 222, 609, 609, 766, 984
1. What is the LCM of 222, 609, 609, 766, 984?
Answer: LCM of 222, 609, 609, 766, 984 is 2830685592.
2. How to calculate the LCM of 222, 609, 609, 766, 984?
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 222, 609, 609, 766, 984.
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}.