LCM of 276, 414, 440, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 414, 440, 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 276, 414, 440, 989. So, keep reading to learn more.
Given numbers are 276,414,440,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,414,440,989 is 3916440.
Find LCM of 276,414,440,989 with Prime Factorization
| 2 | 276, 414, 440, 989 |
| 2 | 138, 207, 220, 989 |
| 3 | 69, 207, 110, 989 |
| 23 | 23, 69, 110, 989 |
| 1, 3, 110, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 1 x 3 x 110 x 43 = 3916440
Therefore, the lowest common multiple of 276,414,440,989 is 3916440.
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.
276 x 414 x 440 x 989 = 49723122240
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,414,440,989, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
414:2x 3x 3x 23
440:2x 2x 2x 5x 11
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 2x 2x 3x 23x 23 = 12696
Therefore, the value for common factors is 12696.
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 = 49723122240/(1x12696)
LCM = 49723122240/12696
LCM = 3916440
Thus, we can understand that the LCM of 276,414,440,989 is 3916440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 276, 414, 440, 989
1. What is the LCM of 276, 414, 440, 989?
Answer: LCM of 276, 414, 440, 989 is 3916440.
2. How to calculate the LCM of 276, 414, 440, 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 276, 414, 440, 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}.