LCM of 787, 945, 920, 414, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 945, 920, 414, 623 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 787, 945, 920, 414, 623. So, keep reading to learn more.
Given numbers are 787,945,920,414,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,945,920,414,623 is 12179076840.
Find LCM of 787,945,920,414,623 with Prime Factorization
| 2 | 787, 945, 920, 414, 623 |
| 3 | 787, 945, 460, 207, 623 |
| 3 | 787, 315, 460, 69, 623 |
| 5 | 787, 105, 460, 23, 623 |
| 7 | 787, 21, 92, 23, 623 |
| 23 | 787, 3, 92, 23, 89 |
| 787, 3, 4, 1, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 23 x 787 x 3 x 4 x 1 x 89 = 12179076840
Therefore, the lowest common multiple of 787,945,920,414,623 is 12179076840.
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.
787 x 945 x 920 x 414 x 623 = 176474823411600
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.
787 : 1, 787
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,945,920,414,623, is 1.
Now, the common factors can be found like this.
787:787
945:3x 3x 3x 5x 7
920:2x 2x 2x 5x 23
414:2x 3x 3x 23
623:7x 89
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 5x 7x 23 = 14490
Therefore, the value for common factors is 14490.
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 = 176474823411600/(1x14490)
LCM = 176474823411600/14490
LCM = 12179076840
Thus, we can understand that the LCM of 787,945,920,414,623 is 12179076840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 787, 945, 920, 414, 623
1. What is the LCM of 787, 945, 920, 414, 623?
Answer: LCM of 787, 945, 920, 414, 623 is 12179076840.
2. How to calculate the LCM of 787, 945, 920, 414, 623?
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 787, 945, 920, 414, 623.
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}.