LCM of 353, 660, 175, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 660, 175, 231 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 353, 660, 175, 231. So, keep reading to learn more.
Given numbers are 353,660,175,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,660,175,231 is 8154300.
Find LCM of 353,660,175,231 with Prime Factorization
| 3 | 353, 660, 175, 231 |
| 5 | 353, 220, 175, 77 |
| 7 | 353, 44, 35, 77 |
| 11 | 353, 44, 5, 11 |
| 353, 4, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 11 x 353 x 4 x 5 x 1 = 8154300
Therefore, the lowest common multiple of 353,660,175,231 is 8154300.
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.
353 x 660 x 175 x 231 = 9418216500
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.
353 : 1, 353
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
175 : 1, 5, 7, 25, 35, 175
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,660,175,231, is 1.
Now, the common factors can be found like this.
353:353
660:2x 2x 3x 5x 11
175:5x 5x 7
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 11 = 1155
Therefore, the value for common factors is 1155.
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 = 9418216500/(1x1155)
LCM = 9418216500/1155
LCM = 8154300
Thus, we can understand that the LCM of 353,660,175,231 is 8154300.
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FAQs on LCM of 353, 660, 175, 231
1. What is the LCM of 353, 660, 175, 231?
Answer: LCM of 353, 660, 175, 231 is 8154300.
2. How to calculate the LCM of 353, 660, 175, 231?
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 353, 660, 175, 231.
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}.