Find the LCM of 721, 764, 419, 385, 168 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 721, 764, 419, 385, 168. So, keep reading to learn more.
Given numbers are 721,764,419,385,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,764,419,385,168 is 76165199880.
Find LCM of 721,764,419,385,168 with Prime Factorization
2 | 721, 764, 419, 385, 168 |
2 | 721, 382, 419, 385, 84 |
7 | 721, 191, 419, 385, 42 |
103, 191, 419, 55, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 103 x 191 x 419 x 55 x 6 = 76165199880
Therefore, the lowest common multiple of 721,764,419,385,168 is 76165199880.
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.
721 x 764 x 419 x 385 x 168 = 14928379176480
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.
721 : 1, 7, 103, 721
764 : 1, 2, 4, 191, 382, 764
419 : 1, 419
385 : 1, 5, 7, 11, 35, 55, 77, 385
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,764,419,385,168, is 1.
Now, the common factors can be found like this.
721:7x 103
764:2x 2x 191
419:419
385:5x 7x 11
168:2x 2x 2x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 14928379176480/(1x196)
LCM = 14928379176480/196
LCM = 76165199880
Thus, we can understand that the LCM of 721,764,419,385,168 is 76165199880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 764, 419, 385, 168?
Answer: LCM of 721, 764, 419, 385, 168 is 76165199880.
2. How to calculate the LCM of 721, 764, 419, 385, 168?
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 721, 764, 419, 385, 168.
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}.