LCM of 420, 589, 403, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 589, 403, 804 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 420, 589, 403, 804. So, keep reading to learn more.
Given numbers are 420,589,403,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,589,403,804 is 215467980.
Find LCM of 420,589,403,804 with Prime Factorization
| 2 | 420, 589, 403, 804 |
| 2 | 210, 589, 403, 402 |
| 3 | 105, 589, 403, 201 |
| 31 | 35, 589, 403, 67 |
| 35, 19, 13, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 35 x 19 x 13 x 67 = 215467980
Therefore, the lowest common multiple of 420,589,403,804 is 215467980.
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.
420 x 589 x 403 x 804 = 80154088560
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
589 : 1, 19, 31, 589
403 : 1, 13, 31, 403
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,589,403,804, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
589:19x 31
403:13x 31
804:2x 2x 3x 67
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 3x 31 = 372
Therefore, the value for common factors is 372.
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 = 80154088560/(1x372)
LCM = 80154088560/372
LCM = 215467980
Thus, we can understand that the LCM of 420,589,403,804 is 215467980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 420, 589, 403, 804
1. What is the LCM of 420, 589, 403, 804?
Answer: LCM of 420, 589, 403, 804 is 215467980.
2. How to calculate the LCM of 420, 589, 403, 804?
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 420, 589, 403, 804.
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}.