LCM of 414, 261, 754, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 261, 754, 989 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 414, 261, 754, 989. So, keep reading to learn more.
Given numbers are 414,261,754,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,261,754,989 is 6711354.
Find LCM of 414,261,754,989 with Prime Factorization
| 2 | 414, 261, 754, 989 |
| 3 | 207, 261, 377, 989 |
| 3 | 69, 87, 377, 989 |
| 23 | 23, 29, 377, 989 |
| 29 | 1, 29, 377, 43 |
| 1, 1, 13, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 29 x 1 x 1 x 13 x 43 = 6711354
Therefore, the lowest common multiple of 414,261,754,989 is 6711354.
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.
414 x 261 x 754 x 989 = 80576516124
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
261 : 1, 3, 9, 29, 87, 261
754 : 1, 2, 13, 26, 29, 58, 377, 754
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,261,754,989, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
261:3x 3x 29
754:2x 13x 29
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23x 29 = 12006
Therefore, the value for common factors is 12006.
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 = 80576516124/(1x12006)
LCM = 80576516124/12006
LCM = 6711354
Thus, we can understand that the LCM of 414,261,754,989 is 6711354.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 414, 261, 754, 989
1. What is the LCM of 414, 261, 754, 989?
Answer: LCM of 414, 261, 754, 989 is 6711354.
2. How to calculate the LCM of 414, 261, 754, 989?
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 414, 261, 754, 989.
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}.