LCM of 777, 799, 133, 945, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 799, 133, 945, 407 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 777, 799, 133, 945, 407. So, keep reading to learn more.
Given numbers are 777,799,133,945,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,799,133,945,407 is 5838840315.
Find LCM of 777,799,133,945,407 with Prime Factorization
| 3 | 777, 799, 133, 945, 407 |
| 7 | 259, 799, 133, 315, 407 |
| 37 | 37, 799, 19, 45, 407 |
| 1, 799, 19, 45, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 37 x 1 x 799 x 19 x 45 x 11 = 5838840315
Therefore, the lowest common multiple of 777,799,133,945,407 is 5838840315.
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.
777 x 799 x 133 x 945 x 407 = 31757452473285
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
799 : 1, 17, 47, 799
133 : 1, 7, 19, 133
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,799,133,945,407, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
799:17x 47
133:7x 19
945:3x 3x 3x 5x 7
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 37 = 5439
Therefore, the value for common factors is 5439.
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 = 31757452473285/(1x5439)
LCM = 31757452473285/5439
LCM = 5838840315
Thus, we can understand that the LCM of 777,799,133,945,407 is 5838840315.
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FAQs on LCM of 777, 799, 133, 945, 407
1. What is the LCM of 777, 799, 133, 945, 407?
Answer: LCM of 777, 799, 133, 945, 407 is 5838840315.
2. How to calculate the LCM of 777, 799, 133, 945, 407?
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 777, 799, 133, 945, 407.
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}.