LCM of 940, 450, 783, 621, 141
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 940, 450, 783, 621, 141 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 940, 450, 783, 621, 141. So, keep reading to learn more.
Given numbers are 940,450,783,621,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,450,783,621,141 is 84642300.
Find LCM of 940,450,783,621,141 with Prime Factorization
| 2 | 940, 450, 783, 621, 141 |
| 3 | 470, 225, 783, 621, 141 |
| 3 | 470, 75, 261, 207, 47 |
| 3 | 470, 25, 87, 69, 47 |
| 5 | 470, 25, 29, 23, 47 |
| 47 | 94, 5, 29, 23, 47 |
| 2, 5, 29, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 47 x 2 x 5 x 29 x 23 x 1 = 84642300
Therefore, the lowest common multiple of 940,450,783,621,141 is 84642300.
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.
940 x 450 x 783 x 621 x 141 = 29000991249000
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
783 : 1, 3, 9, 27, 29, 87, 261, 783
621 : 1, 3, 9, 23, 27, 69, 207, 621
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,450,783,621,141, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
450:2x 3x 3x 5x 5
783:3x 3x 3x 29
621:3x 3x 3x 23
141:3x 47
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 3x 3x 3x 3x 5x 47 = 342630
Therefore, the value for common factors is 342630.
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 = 29000991249000/(1x342630)
LCM = 29000991249000/342630
LCM = 84642300
Thus, we can understand that the LCM of 940,450,783,621,141 is 84642300.
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FAQs on LCM of 940, 450, 783, 621, 141
1. What is the LCM of 940, 450, 783, 621, 141?
Answer: LCM of 940, 450, 783, 621, 141 is 84642300.
2. How to calculate the LCM of 940, 450, 783, 621, 141?
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 940, 450, 783, 621, 141.
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}.