LCM of 782, 668, 300, 635, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 668, 300, 635, 812 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 782, 668, 300, 635, 812. So, keep reading to learn more.
Given numbers are 782,668,300,635,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,668,300,635,812 is 505026587100.
Find LCM of 782,668,300,635,812 with Prime Factorization
| 2 | 782, 668, 300, 635, 812 |
| 2 | 391, 334, 150, 635, 406 |
| 5 | 391, 167, 75, 635, 203 |
| 391, 167, 15, 127, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 391 x 167 x 15 x 127 x 203 = 505026587100
Therefore, the lowest common multiple of 782,668,300,635,812 is 505026587100.
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.
782 x 668 x 300 x 635 x 812 = 80804253936000
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
668 : 1, 2, 4, 167, 334, 668
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
635 : 1, 5, 127, 635
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,668,300,635,812, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
668:2x 2x 167
300:2x 2x 3x 5x 5
635:5x 127
812:2x 2x 7x 29
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 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 80804253936000/(1x160)
LCM = 80804253936000/160
LCM = 505026587100
Thus, we can understand that the LCM of 782,668,300,635,812 is 505026587100.
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FAQs on LCM of 782, 668, 300, 635, 812
1. What is the LCM of 782, 668, 300, 635, 812?
Answer: LCM of 782, 668, 300, 635, 812 is 505026587100.
2. How to calculate the LCM of 782, 668, 300, 635, 812?
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 782, 668, 300, 635, 812.
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}.