LCM of 238, 429, 885, 307, 275
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 429, 885, 307, 275 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 238, 429, 885, 307, 275. So, keep reading to learn more.
Given numbers are 238,429,885,307,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,429,885,307,275 is 46234338150.
Find LCM of 238,429,885,307,275 with Prime Factorization
| 3 | 238, 429, 885, 307, 275 |
| 5 | 238, 143, 295, 307, 275 |
| 11 | 238, 143, 59, 307, 55 |
| 238, 13, 59, 307, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 238 x 13 x 59 x 307 x 5 = 46234338150
Therefore, the lowest common multiple of 238,429,885,307,275 is 46234338150.
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.
238 x 429 x 885 x 307 x 275 = 7628665794750
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
429 : 1, 3, 11, 13, 33, 39, 143, 429
885 : 1, 3, 5, 15, 59, 177, 295, 885
307 : 1, 307
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,429,885,307,275, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
429:3x 11x 13
885:3x 5x 59
307:307
275:5x 5x 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 11 = 165
Therefore, the value for common factors is 165.
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 = 7628665794750/(1x165)
LCM = 7628665794750/165
LCM = 46234338150
Thus, we can understand that the LCM of 238,429,885,307,275 is 46234338150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 238, 429, 885, 307, 275
1. What is the LCM of 238, 429, 885, 307, 275?
Answer: LCM of 238, 429, 885, 307, 275 is 46234338150.
2. How to calculate the LCM of 238, 429, 885, 307, 275?
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 238, 429, 885, 307, 275.
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}.