LCM of 782, 302, 120, 705, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 302, 120, 705, 912 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, 302, 120, 705, 912. So, keep reading to learn more.
Given numbers are 782,302,120,705,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,302,120,705,912 is 12653667120.
Find LCM of 782,302,120,705,912 with Prime Factorization
| 2 | 782, 302, 120, 705, 912 |
| 2 | 391, 151, 60, 705, 456 |
| 2 | 391, 151, 30, 705, 228 |
| 3 | 391, 151, 15, 705, 114 |
| 5 | 391, 151, 5, 235, 38 |
| 391, 151, 1, 47, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 391 x 151 x 1 x 47 x 38 = 12653667120
Therefore, the lowest common multiple of 782,302,120,705,912 is 12653667120.
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 302 x 120 x 705 x 912 = 18221280652800
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
302 : 1, 2, 151, 302
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
705 : 1, 3, 5, 15, 47, 141, 235, 705
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,302,120,705,912, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
302:2x 151
120:2x 2x 2x 3x 5
705:3x 5x 47
912:2x 2x 2x 2x 3x 19
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 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 18221280652800/(1x1440)
LCM = 18221280652800/1440
LCM = 12653667120
Thus, we can understand that the LCM of 782,302,120,705,912 is 12653667120.
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FAQs on LCM of 782, 302, 120, 705, 912
1. What is the LCM of 782, 302, 120, 705, 912?
Answer: LCM of 782, 302, 120, 705, 912 is 12653667120.
2. How to calculate the LCM of 782, 302, 120, 705, 912?
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, 302, 120, 705, 912.
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}.