LCM of 238, 759, 783, 207, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 759, 783, 207, 957 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, 759, 783, 207, 957. So, keep reading to learn more.
Given numbers are 238,759,783,207,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,759,783,207,957 is 47147562.
Find LCM of 238,759,783,207,957 with Prime Factorization
| 3 | 238, 759, 783, 207, 957 |
| 3 | 238, 253, 261, 69, 319 |
| 11 | 238, 253, 87, 23, 319 |
| 23 | 238, 23, 87, 23, 29 |
| 29 | 238, 1, 87, 1, 29 |
| 238, 1, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 23 x 29 x 238 x 1 x 3 x 1 x 1 = 47147562
Therefore, the lowest common multiple of 238,759,783,207,957 is 47147562.
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 759 x 783 x 207 x 957 = 28019654653914
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
783 : 1, 3, 9, 27, 29, 87, 261, 783
207 : 1, 3, 9, 23, 69, 207
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,759,783,207,957, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
759:3x 11x 23
783:3x 3x 3x 29
207:3x 3x 23
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 11x 23x 29 = 594297
Therefore, the value for common factors is 594297.
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 = 28019654653914/(1x594297)
LCM = 28019654653914/594297
LCM = 47147562
Thus, we can understand that the LCM of 238,759,783,207,957 is 47147562.
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FAQs on LCM of 238, 759, 783, 207, 957
1. What is the LCM of 238, 759, 783, 207, 957?
Answer: LCM of 238, 759, 783, 207, 957 is 47147562.
2. How to calculate the LCM of 238, 759, 783, 207, 957?
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, 759, 783, 207, 957.
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}.