LCM of 807, 327, 840, 250, 483
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 327, 840, 250, 483 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 807, 327, 840, 250, 483. So, keep reading to learn more.
Given numbers are 807,327,840,250,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,327,840,250,483 is 14162043000.
Find LCM of 807,327,840,250,483 with Prime Factorization
| 2 | 807, 327, 840, 250, 483 |
| 3 | 807, 327, 420, 125, 483 |
| 5 | 269, 109, 140, 125, 161 |
| 7 | 269, 109, 28, 25, 161 |
| 269, 109, 4, 25, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 269 x 109 x 4 x 25 x 23 = 14162043000
Therefore, the lowest common multiple of 807,327,840,250,483 is 14162043000.
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.
807 x 327 x 840 x 250 x 483 = 26766261270000
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.
807 : 1, 3, 269, 807
327 : 1, 3, 109, 327
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
250 : 1, 2, 5, 10, 25, 50, 125, 250
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,327,840,250,483, is 1.
Now, the common factors can be found like this.
807:3x 269
327:3x 109
840:2x 2x 2x 3x 5x 7
250:2x 5x 5x 5
483:3x 7x 23
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 5x 7 = 1890
Therefore, the value for common factors is 1890.
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 = 26766261270000/(1x1890)
LCM = 26766261270000/1890
LCM = 14162043000
Thus, we can understand that the LCM of 807,327,840,250,483 is 14162043000.
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FAQs on LCM of 807, 327, 840, 250, 483
1. What is the LCM of 807, 327, 840, 250, 483?
Answer: LCM of 807, 327, 840, 250, 483 is 14162043000.
2. How to calculate the LCM of 807, 327, 840, 250, 483?
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 807, 327, 840, 250, 483.
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}.