Find the LCM of 279, 964, 764, 731, 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 279, 964, 764, 731, 901. So, keep reading to learn more.
Given numbers are 279,964,764,731,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,964,764,731,901 is 1990251000828.
Find LCM of 279,964,764,731,901 with Prime Factorization
2 | 279, 964, 764, 731, 901 |
2 | 279, 482, 382, 731, 901 |
17 | 279, 241, 191, 731, 901 |
279, 241, 191, 43, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 279 x 241 x 191 x 43 x 53 = 1990251000828
Therefore, the lowest common multiple of 279,964,764,731,901 is 1990251000828.
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.
279 x 964 x 764 x 731 x 901 = 135337068056304
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.
279 : 1, 3, 9, 31, 93, 279
964 : 1, 2, 4, 241, 482, 964
764 : 1, 2, 4, 191, 382, 764
731 : 1, 17, 43, 731
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,964,764,731,901, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
964:2x 2x 241
764:2x 2x 191
731:17x 43
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.
2x 2x 17 = 68
Therefore, the value for common factors is 68.
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 = 135337068056304/(1x68)
LCM = 135337068056304/68
LCM = 1990251000828
Thus, we can understand that the LCM of 279,964,764,731,901 is 1990251000828.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 964, 764, 731, 901?
Answer: LCM of 279, 964, 764, 731, 901 is 1990251000828.
2. How to calculate the LCM of 279, 964, 764, 731, 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 279, 964, 764, 731, 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}.