LCM of 535, 804, 442, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 804, 442, 852 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 535, 804, 442, 852. So, keep reading to learn more.
Given numbers are 535,804,442,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,804,442,852 is 6749326740.
Find LCM of 535,804,442,852 with Prime Factorization
| 2 | 535, 804, 442, 852 |
| 2 | 535, 402, 221, 426 |
| 3 | 535, 201, 221, 213 |
| 535, 67, 221, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 535 x 67 x 221 x 71 = 6749326740
Therefore, the lowest common multiple of 535,804,442,852 is 6749326740.
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.
535 x 804 x 442 x 852 = 161983841760
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.
535 : 1, 5, 107, 535
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
442 : 1, 2, 13, 17, 26, 34, 221, 442
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,804,442,852, is 1.
Now, the common factors can be found like this.
535:5x 107
804:2x 2x 3x 67
442:2x 13x 17
852:2x 2x 3x 71
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 3 = 24
Therefore, the value for common factors is 24.
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 = 161983841760/(1x24)
LCM = 161983841760/24
LCM = 6749326740
Thus, we can understand that the LCM of 535,804,442,852 is 6749326740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 535, 804, 442, 852
1. What is the LCM of 535, 804, 442, 852?
Answer: LCM of 535, 804, 442, 852 is 6749326740.
2. How to calculate the LCM of 535, 804, 442, 852?
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 535, 804, 442, 852.
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}.