LCM of 222, 600, 989, 735, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 600, 989, 735, 588 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, 600, 989, 735, 588. So, keep reading to learn more.
Given numbers are 222,600,989,735,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,600,989,735,588 is 1075834200.
Find LCM of 222,600,989,735,588 with Prime Factorization
| 2 | 222, 600, 989, 735, 588 |
| 2 | 111, 300, 989, 735, 294 |
| 3 | 111, 150, 989, 735, 147 |
| 5 | 37, 50, 989, 245, 49 |
| 7 | 37, 10, 989, 49, 49 |
| 7 | 37, 10, 989, 7, 7 |
| 37, 10, 989, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 7 x 37 x 10 x 989 x 1 x 1 = 1075834200
Therefore, the lowest common multiple of 222,600,989,735,588 is 1075834200.
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 600 x 989 x 735 x 588 = 56933145864000
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
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
989 : 1, 23, 43, 989
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,600,989,735,588, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
600:2x 2x 2x 3x 5x 5
989:23x 43
735:3x 5x 7x 7
588:2x 2x 3x 7x 7
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 3x 3x 3x 5x 7x 7 = 52920
Therefore, the value for common factors is 52920.
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 = 56933145864000/(1x52920)
LCM = 56933145864000/52920
LCM = 1075834200
Thus, we can understand that the LCM of 222,600,989,735,588 is 1075834200.
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FAQs on LCM of 222, 600, 989, 735, 588
1. What is the LCM of 222, 600, 989, 735, 588?
Answer: LCM of 222, 600, 989, 735, 588 is 1075834200.
2. How to calculate the LCM of 222, 600, 989, 735, 588?
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, 600, 989, 735, 588.
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}.