Find the LCM of 3, 381, 456, 991 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 3, 381, 456, 991. So, keep reading to learn more.
Given numbers are 3,381,456,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3,381,456,991 is 57390792.
Find LCM of 3,381,456,991 with Prime Factorization
3 | 3, 381, 456, 991 |
1, 127, 152, 991 |
Multiply the prime numbers at the bottom and the left side.
3 x 1 x 127 x 152 x 991 = 57390792
Therefore, the lowest common multiple of 3,381,456,991 is 57390792.
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.
3 x 381 x 456 x 991 = 516517128
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.
3 : 1, 3
381 : 1, 3, 127, 381
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3,381,456,991, is 1.
Now, the common factors can be found like this.
3:3
381:3x 127
456:2x 2x 2x 3x 19
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 516517128/(1x9)
LCM = 516517128/9
LCM = 57390792
Thus, we can understand that the LCM of 3,381,456,991 is 57390792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3, 381, 456, 991?
Answer: LCM of 3, 381, 456, 991 is 57390792.
2. How to calculate the LCM of 3, 381, 456, 991?
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 3, 381, 456, 991.
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}.