LCM of 789, 420, 670, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 420, 670, 458 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 789, 420, 670, 458. So, keep reading to learn more.
Given numbers are 789,420,670,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,420,670,458 is 1694787780.
Find LCM of 789,420,670,458 with Prime Factorization
| 2 | 789, 420, 670, 458 |
| 3 | 789, 210, 335, 229 |
| 5 | 263, 70, 335, 229 |
| 263, 14, 67, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 263 x 14 x 67 x 229 = 1694787780
Therefore, the lowest common multiple of 789,420,670,458 is 1694787780.
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.
789 x 420 x 670 x 458 = 101687266800
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.
789 : 1, 3, 263, 789
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
670 : 1, 2, 5, 10, 67, 134, 335, 670
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,420,670,458, is 1.
Now, the common factors can be found like this.
789:3x 263
420:2x 2x 3x 5x 7
670:2x 5x 67
458:2x 229
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 5 = 60
Therefore, the value for common factors is 60.
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 = 101687266800/(1x60)
LCM = 101687266800/60
LCM = 1694787780
Thus, we can understand that the LCM of 789,420,670,458 is 1694787780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 789, 420, 670, 458
1. What is the LCM of 789, 420, 670, 458?
Answer: LCM of 789, 420, 670, 458 is 1694787780.
2. How to calculate the LCM of 789, 420, 670, 458?
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 789, 420, 670, 458.
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}.