Find the LCM of 791, 161, 674, 477, 901 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 791, 161, 674, 477, 901. So, keep reading to learn more.
Given numbers are 791,161,674,477,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,161,674,477,901 is 99433222938.
Find LCM of 791,161,674,477,901 with Prime Factorization
7 | 791, 161, 674, 477, 901 |
53 | 113, 23, 674, 477, 901 |
113, 23, 674, 9, 17 |
Multiply the prime numbers at the bottom and the left side.
7 x 53 x 113 x 23 x 674 x 9 x 17 = 99433222938
Therefore, the lowest common multiple of 791,161,674,477,901 is 99433222938.
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.
791 x 161 x 674 x 477 x 901 = 36889725709998
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.
791 : 1, 7, 113, 791
161 : 1, 7, 23, 161
674 : 1, 2, 337, 674
477 : 1, 3, 9, 53, 159, 477
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,161,674,477,901, is 1.
Now, the common factors can be found like this.
791:7x 113
161:7x 23
674:2x 337
477:3x 3x 53
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 53 = 371
Therefore, the value for common factors is 371.
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 = 36889725709998/(1x371)
LCM = 36889725709998/371
LCM = 99433222938
Thus, we can understand that the LCM of 791,161,674,477,901 is 99433222938.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 791, 161, 674, 477, 901?
Answer: LCM of 791, 161, 674, 477, 901 is 99433222938.
2. How to calculate the LCM of 791, 161, 674, 477, 901?
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 791, 161, 674, 477, 901.
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}.