Find the LCM of 463, 533, 759, 115 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 463, 533, 759, 115. So, keep reading to learn more.
Given numbers are 463,533,759,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,533,759,115 is 936526305.
Find LCM of 463,533,759,115 with Prime Factorization
23 | 463, 533, 759, 115 |
463, 533, 33, 5 |
Multiply the prime numbers at the bottom and the left side.
23 x 463 x 533 x 33 x 5 = 936526305
Therefore, the lowest common multiple of 463,533,759,115 is 936526305.
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.
463 x 533 x 759 x 115 = 21540105015
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.
463 : 1, 463
533 : 1, 13, 41, 533
759 : 1, 3, 11, 23, 33, 69, 253, 759
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,533,759,115, is 1.
Now, the common factors can be found like this.
463:463
533:13x 41
759:3x 11x 23
115:5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 21540105015/(1x23)
LCM = 21540105015/23
LCM = 936526305
Thus, we can understand that the LCM of 463,533,759,115 is 936526305.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 533, 759, 115?
Answer: LCM of 463, 533, 759, 115 is 936526305.
2. How to calculate the LCM of 463, 533, 759, 115?
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 463, 533, 759, 115.
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}.