LCM of 945, 319, 840, 511, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 319, 840, 511, 200 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 945, 319, 840, 511, 200. So, keep reading to learn more.
Given numbers are 945,319,840,511,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,319,840,511,200 is 880248600.
Find LCM of 945,319,840,511,200 with Prime Factorization
| 2 | 945, 319, 840, 511, 200 |
| 2 | 945, 319, 420, 511, 100 |
| 2 | 945, 319, 210, 511, 50 |
| 3 | 945, 319, 105, 511, 25 |
| 5 | 315, 319, 35, 511, 25 |
| 7 | 63, 319, 7, 511, 5 |
| 9, 319, 1, 73, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 9 x 319 x 1 x 73 x 5 = 880248600
Therefore, the lowest common multiple of 945,319,840,511,200 is 880248600.
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.
945 x 319 x 840 x 511 x 200 = 25879308840000
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
319 : 1, 11, 29, 319
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
511 : 1, 7, 73, 511
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,319,840,511,200, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
319:11x 29
840:2x 2x 2x 3x 5x 7
511:7x 73
200:2x 2x 2x 5x 5
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 5x 5x 7x 7 = 29400
Therefore, the value for common factors is 29400.
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 = 25879308840000/(1x29400)
LCM = 25879308840000/29400
LCM = 880248600
Thus, we can understand that the LCM of 945,319,840,511,200 is 880248600.
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FAQs on LCM of 945, 319, 840, 511, 200
1. What is the LCM of 945, 319, 840, 511, 200?
Answer: LCM of 945, 319, 840, 511, 200 is 880248600.
2. How to calculate the LCM of 945, 319, 840, 511, 200?
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 945, 319, 840, 511, 200.
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}.