LCM of 912, 984, 728, 766, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 912, 984, 728, 766, 962 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 912, 984, 728, 766, 962. So, keep reading to learn more.
Given numbers are 912,984,728,766,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,984,728,766,962 is 48219264912.
Find LCM of 912,984,728,766,962 with Prime Factorization
| 2 | 912, 984, 728, 766, 962 |
| 2 | 456, 492, 364, 383, 481 |
| 2 | 228, 246, 182, 383, 481 |
| 3 | 114, 123, 91, 383, 481 |
| 13 | 38, 41, 91, 383, 481 |
| 38, 41, 7, 383, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 38 x 41 x 7 x 383 x 37 = 48219264912
Therefore, the lowest common multiple of 912,984,728,766,962 is 48219264912.
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.
912 x 984 x 728 x 766 x 962 = 481421140881408
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
766 : 1, 2, 383, 766
962 : 1, 2, 13, 26, 37, 74, 481, 962
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,984,728,766,962, is 2.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
984:2x 2x 2x 3x 41
728:2x 2x 2x 7x 13
766:2x 383
962:2x 13x 37
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 2x 2x 3x 13 = 4992
Therefore, the value for common factors is 4992.
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 = 481421140881408/(2x4992)
LCM = 481421140881408/9984
LCM = 48219264912
Thus, we can understand that the LCM of 912,984,728,766,962 is 48219264912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 912, 984, 728, 766, 962
1. What is the LCM of 912, 984, 728, 766, 962?
Answer: LCM of 912, 984, 728, 766, 962 is 48219264912.
2. How to calculate the LCM of 912, 984, 728, 766, 962?
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 912, 984, 728, 766, 962.
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}.