LCM of 452, 968, 638, 113
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 968, 638, 113 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 452, 968, 638, 113. So, keep reading to learn more.
Given numbers are 452,968,638,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,968,638,113 is 3172136.
Find LCM of 452,968,638,113 with Prime Factorization
| 2 | 452, 968, 638, 113 |
| 2 | 226, 484, 319, 113 |
| 11 | 113, 242, 319, 113 |
| 113 | 113, 22, 29, 113 |
| 1, 22, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 113 x 1 x 22 x 29 x 1 = 3172136
Therefore, the lowest common multiple of 452,968,638,113 is 3172136.
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.
452 x 968 x 638 x 113 = 31543720384
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.
452 : 1, 2, 4, 113, 226, 452
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
638 : 1, 2, 11, 22, 29, 58, 319, 638
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,968,638,113, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
968:2x 2x 2x 11x 11
638:2x 11x 29
113:113
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 2x 11x 113 = 9944
Therefore, the value for common factors is 9944.
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 = 31543720384/(1x9944)
LCM = 31543720384/9944
LCM = 3172136
Thus, we can understand that the LCM of 452,968,638,113 is 3172136.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 452, 968, 638, 113
1. What is the LCM of 452, 968, 638, 113?
Answer: LCM of 452, 968, 638, 113 is 3172136.
2. How to calculate the LCM of 452, 968, 638, 113?
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 452, 968, 638, 113.
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}.