LCM of 222, 697, 918, 170, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 697, 918, 170, 675 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, 697, 918, 170, 675. So, keep reading to learn more.
Given numbers are 222,697,918,170,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,697,918,170,675 is 34815150.
Find LCM of 222,697,918,170,675 with Prime Factorization
| 2 | 222, 697, 918, 170, 675 |
| 3 | 111, 697, 459, 85, 675 |
| 3 | 37, 697, 153, 85, 225 |
| 3 | 37, 697, 51, 85, 75 |
| 5 | 37, 697, 17, 85, 25 |
| 17 | 37, 697, 17, 17, 5 |
| 37, 41, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 17 x 37 x 41 x 1 x 1 x 5 = 34815150
Therefore, the lowest common multiple of 222,697,918,170,675 is 34815150.
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 697 x 918 x 170 x 675 = 16299756927000
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
697 : 1, 17, 41, 697
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
170 : 1, 2, 5, 10, 17, 34, 85, 170
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,697,918,170,675, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
697:17x 41
918:2x 3x 3x 3x 17
170:2x 5x 17
675:3x 3x 3x 5x 5
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 3x 5x 17x 17 = 468180
Therefore, the value for common factors is 468180.
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 = 16299756927000/(1x468180)
LCM = 16299756927000/468180
LCM = 34815150
Thus, we can understand that the LCM of 222,697,918,170,675 is 34815150.
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FAQs on LCM of 222, 697, 918, 170, 675
1. What is the LCM of 222, 697, 918, 170, 675?
Answer: LCM of 222, 697, 918, 170, 675 is 34815150.
2. How to calculate the LCM of 222, 697, 918, 170, 675?
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, 697, 918, 170, 675.
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}.