Find the LCM of 958, 263, 263, 564 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 958, 263, 263, 564. So, keep reading to learn more.
Given numbers are 958,263,263,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,263,263,564 is 71051028.
Find LCM of 958,263,263,564 with Prime Factorization
2 | 958, 263, 263, 564 |
263 | 479, 263, 263, 282 |
479, 1, 1, 282 |
Multiply the prime numbers at the bottom and the left side.
2 x 263 x 479 x 1 x 1 x 282 = 71051028
Therefore, the lowest common multiple of 958,263,263,564 is 71051028.
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.
958 x 263 x 263 x 564 = 37372840728
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.
958 : 1, 2, 479, 958
263 : 1, 263
263 : 1, 263
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,263,263,564, is 1.
Now, the common factors can be found like this.
958:2x 479
263:263
263:263
564:2x 2x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 263 = 526
Therefore, the value for common factors is 526.
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 = 37372840728/(1x526)
LCM = 37372840728/526
LCM = 71051028
Thus, we can understand that the LCM of 958,263,263,564 is 71051028.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 958, 263, 263, 564?
Answer: LCM of 958, 263, 263, 564 is 71051028.
2. How to calculate the LCM of 958, 263, 263, 564?
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 958, 263, 263, 564.
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}.