LCM of 277, 728, 976, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 728, 976, 312 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 277, 728, 976, 312. So, keep reading to learn more.
Given numbers are 277,728,976,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,728,976,312 is 73806096.
Find LCM of 277,728,976,312 with Prime Factorization
| 2 | 277, 728, 976, 312 |
| 2 | 277, 364, 488, 156 |
| 2 | 277, 182, 244, 78 |
| 13 | 277, 91, 122, 39 |
| 277, 7, 122, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 277 x 7 x 122 x 3 = 73806096
Therefore, the lowest common multiple of 277,728,976,312 is 73806096.
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.
277 x 728 x 976 x 312 = 61406671872
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.
277 : 1, 277
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,728,976,312, is 1.
Now, the common factors can be found like this.
277:277
728:2x 2x 2x 7x 13
976:2x 2x 2x 2x 61
312:2x 2x 2x 3x 13
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 13 = 832
Therefore, the value for common factors is 832.
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 = 61406671872/(1x832)
LCM = 61406671872/832
LCM = 73806096
Thus, we can understand that the LCM of 277,728,976,312 is 73806096.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 277, 728, 976, 312
1. What is the LCM of 277, 728, 976, 312?
Answer: LCM of 277, 728, 976, 312 is 73806096.
2. How to calculate the LCM of 277, 728, 976, 312?
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 277, 728, 976, 312.
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}.