LCM of 804, 987, 412, 580, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 987, 412, 580, 140 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, 987, 412, 580, 140. So, keep reading to learn more.
Given numbers are 804,987,412,580,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,987,412,580,140 is 3950546460.
Find LCM of 804,987,412,580,140 with Prime Factorization
| 2 | 804, 987, 412, 580, 140 |
| 2 | 402, 987, 206, 290, 70 |
| 3 | 201, 987, 103, 145, 35 |
| 5 | 67, 329, 103, 145, 35 |
| 7 | 67, 329, 103, 29, 7 |
| 67, 47, 103, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 67 x 47 x 103 x 29 x 1 = 3950546460
Therefore, the lowest common multiple of 804,987,412,580,140 is 3950546460.
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 987 x 412 x 580 x 140 = 26547672211200
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
987 : 1, 3, 7, 21, 47, 141, 329, 987
412 : 1, 2, 4, 103, 206, 412
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,987,412,580,140, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
987:3x 7x 47
412:2x 2x 103
580:2x 2x 5x 29
140:2x 2x 5x 7
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 2x 3x 5x 7 = 6720
Therefore, the value for common factors is 6720.
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 = 26547672211200/(1x6720)
LCM = 26547672211200/6720
LCM = 3950546460
Thus, we can understand that the LCM of 804,987,412,580,140 is 3950546460.
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FAQs on LCM of 804, 987, 412, 580, 140
1. What is the LCM of 804, 987, 412, 580, 140?
Answer: LCM of 804, 987, 412, 580, 140 is 3950546460.
2. How to calculate the LCM of 804, 987, 412, 580, 140?
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, 987, 412, 580, 140.
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}.