LCM of 638, 261, 849, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 261, 849, 847 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 638, 261, 849, 847. So, keep reading to learn more.
Given numbers are 638,261,849,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,261,849,847 is 125123922.
Find LCM of 638,261,849,847 with Prime Factorization
| 3 | 638, 261, 849, 847 |
| 11 | 638, 87, 283, 847 |
| 29 | 58, 87, 283, 77 |
| 2, 3, 283, 77 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 29 x 2 x 3 x 283 x 77 = 125123922
Therefore, the lowest common multiple of 638,261,849,847 is 125123922.
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.
638 x 261 x 849 x 847 = 119743593354
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
261 : 1, 3, 9, 29, 87, 261
849 : 1, 3, 283, 849
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,261,849,847, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
261:3x 3x 29
849:3x 283
847:7x 11x 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 11x 29 = 957
Therefore, the value for common factors is 957.
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 = 119743593354/(1x957)
LCM = 119743593354/957
LCM = 125123922
Thus, we can understand that the LCM of 638,261,849,847 is 125123922.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 261, 849, 847
1. What is the LCM of 638, 261, 849, 847?
Answer: LCM of 638, 261, 849, 847 is 125123922.
2. How to calculate the LCM of 638, 261, 849, 847?
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 638, 261, 849, 847.
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}.