LCM of 824, 596, 416, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 596, 416, 745 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 824, 596, 416, 745. So, keep reading to learn more.
Given numbers are 824,596,416,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,596,416,745 is 31921760.
Find LCM of 824,596,416,745 with Prime Factorization
| 2 | 824, 596, 416, 745 |
| 2 | 412, 298, 208, 745 |
| 2 | 206, 149, 104, 745 |
| 149 | 103, 149, 52, 745 |
| 103, 1, 52, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 149 x 103 x 1 x 52 x 5 = 31921760
Therefore, the lowest common multiple of 824,596,416,745 is 31921760.
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.
824 x 596 x 416 x 745 = 152202951680
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
596 : 1, 2, 4, 149, 298, 596
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,596,416,745, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
596:2x 2x 149
416:2x 2x 2x 2x 2x 13
745:5x 149
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 2x 2x 149 = 4768
Therefore, the value for common factors is 4768.
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 = 152202951680/(1x4768)
LCM = 152202951680/4768
LCM = 31921760
Thus, we can understand that the LCM of 824,596,416,745 is 31921760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 824, 596, 416, 745
1. What is the LCM of 824, 596, 416, 745?
Answer: LCM of 824, 596, 416, 745 is 31921760.
2. How to calculate the LCM of 824, 596, 416, 745?
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 824, 596, 416, 745.
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}.