LCM of 804, 238, 204, 967, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 238, 204, 967, 532 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 804, 238, 204, 967, 532. So, keep reading to learn more.
Given numbers are 804,238,204,967,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,238,204,967,532 is 1757855148.
Find LCM of 804,238,204,967,532 with Prime Factorization
| 2 | 804, 238, 204, 967, 532 |
| 2 | 402, 119, 102, 967, 266 |
| 3 | 201, 119, 51, 967, 133 |
| 7 | 67, 119, 17, 967, 133 |
| 17 | 67, 17, 17, 967, 19 |
| 67, 1, 1, 967, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 67 x 1 x 1 x 967 x 19 = 1757855148
Therefore, the lowest common multiple of 804,238,204,967,532 is 1757855148.
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.
804 x 238 x 204 x 967 x 532 = 20081737210752
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
238 : 1, 2, 7, 14, 17, 34, 119, 238
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
967 : 1, 967
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,238,204,967,532, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
238:2x 7x 17
204:2x 2x 3x 17
967:967
532:2x 2x 7x 19
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 3x 7x 17 = 11424
Therefore, the value for common factors is 11424.
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 = 20081737210752/(1x11424)
LCM = 20081737210752/11424
LCM = 1757855148
Thus, we can understand that the LCM of 804,238,204,967,532 is 1757855148.
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FAQs on LCM of 804, 238, 204, 967, 532
1. What is the LCM of 804, 238, 204, 967, 532?
Answer: LCM of 804, 238, 204, 967, 532 is 1757855148.
2. How to calculate the LCM of 804, 238, 204, 967, 532?
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 804, 238, 204, 967, 532.
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}.