LCM of 381, 207, 767, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 207, 767, 295 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 381, 207, 767, 295. So, keep reading to learn more.
Given numbers are 381,207,767,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,207,767,295 is 100818315.
Find LCM of 381,207,767,295 with Prime Factorization
| 3 | 381, 207, 767, 295 |
| 59 | 127, 69, 767, 295 |
| 127, 69, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 59 x 127 x 69 x 13 x 5 = 100818315
Therefore, the lowest common multiple of 381,207,767,295 is 100818315.
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.
381 x 207 x 767 x 295 = 17844841755
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.
381 : 1, 3, 127, 381
207 : 1, 3, 9, 23, 69, 207
767 : 1, 13, 59, 767
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,207,767,295, is 1.
Now, the common factors can be found like this.
381:3x 127
207:3x 3x 23
767:13x 59
295:5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 59 = 177
Therefore, the value for common factors is 177.
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 = 17844841755/(1x177)
LCM = 17844841755/177
LCM = 100818315
Thus, we can understand that the LCM of 381,207,767,295 is 100818315.
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FAQs on LCM of 381, 207, 767, 295
1. What is the LCM of 381, 207, 767, 295?
Answer: LCM of 381, 207, 767, 295 is 100818315.
2. How to calculate the LCM of 381, 207, 767, 295?
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 381, 207, 767, 295.
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}.