LCM of 938, 798, 767, 201, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 798, 767, 201, 447 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 938, 798, 767, 201, 447. So, keep reading to learn more.
Given numbers are 938,798,767,201,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,798,767,201,447 is 6110254878.
Find LCM of 938,798,767,201,447 with Prime Factorization
| 2 | 938, 798, 767, 201, 447 |
| 3 | 469, 399, 767, 201, 447 |
| 7 | 469, 133, 767, 67, 149 |
| 67 | 67, 19, 767, 67, 149 |
| 1, 19, 767, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 67 x 1 x 19 x 767 x 1 x 149 = 6110254878
Therefore, the lowest common multiple of 938,798,767,201,447 is 6110254878.
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.
938 x 798 x 767 x 201 x 447 = 51582771680076
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
767 : 1, 13, 59, 767
201 : 1, 3, 67, 201
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,798,767,201,447, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
798:2x 3x 7x 19
767:13x 59
201:3x 67
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 67 = 8442
Therefore, the value for common factors is 8442.
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 = 51582771680076/(1x8442)
LCM = 51582771680076/8442
LCM = 6110254878
Thus, we can understand that the LCM of 938,798,767,201,447 is 6110254878.
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FAQs on LCM of 938, 798, 767, 201, 447
1. What is the LCM of 938, 798, 767, 201, 447?
Answer: LCM of 938, 798, 767, 201, 447 is 6110254878.
2. How to calculate the LCM of 938, 798, 767, 201, 447?
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 938, 798, 767, 201, 447.
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}.