LCM of 1736, 2852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 1736, 2852 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 1736, 2852. So, keep reading to learn more.
Given numbers are 1736,2852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1736,2852 is 39928.
Find LCM of 1736,2852 with Prime Factorization
| 2 | 1736, 2852 |
| 2 | 868, 1426 |
| 31 | 434, 713 |
| 14, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 14 x 23 = 39928
Therefore, the lowest common multiple of 1736,2852 is 39928.
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.
1736 x 2852 = 4951072
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.
1736 : 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736
2852 : 1, 2, 4, 23, 31, 46, 62, 92, 124, 713, 1426, 2852
124 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1736,2852, is 124.
Now, the common factors can be found like this.
1736:2x 2x 2x 7x 31
2852:2x 2x 23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 4951072/(124x1)
LCM = 4951072/124
LCM = 39928
Thus, we can understand that the LCM of 1736,2852 is 39928.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 1736, 2852
1. What is the LCM of 1736, 2852?
Answer: LCM of 1736, 2852 is 39928.
2. How to calculate the LCM of 1736, 2852?
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 1736, 2852.
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}.