LCM of 651, 954, 161, 738, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 651, 954, 161, 738, 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 651, 954, 161, 738, 312. So, keep reading to learn more.
Given numbers are 651,954,161,738,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,954,161,738,312 is 10151334648.
Find LCM of 651,954,161,738,312 with Prime Factorization
| 2 | 651, 954, 161, 738, 312 |
| 3 | 651, 477, 161, 369, 156 |
| 3 | 217, 159, 161, 123, 52 |
| 7 | 217, 53, 161, 41, 52 |
| 31, 53, 23, 41, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 31 x 53 x 23 x 41 x 52 = 10151334648
Therefore, the lowest common multiple of 651,954,161,738,312 is 10151334648.
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.
651 x 954 x 161 x 738 x 312 = 23023226981664
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.
651 : 1, 3, 7, 21, 31, 93, 217, 651
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
161 : 1, 7, 23, 161
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
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 651,954,161,738,312, is 1.
Now, the common factors can be found like this.
651:3x 7x 31
954:2x 3x 3x 53
161:7x 23
738:2x 3x 3x 41
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 3x 3x 3x 3x 7 = 2268
Therefore, the value for common factors is 2268.
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 = 23023226981664/(1x2268)
LCM = 23023226981664/2268
LCM = 10151334648
Thus, we can understand that the LCM of 651,954,161,738,312 is 10151334648.
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FAQs on LCM of 651, 954, 161, 738, 312
1. What is the LCM of 651, 954, 161, 738, 312?
Answer: LCM of 651, 954, 161, 738, 312 is 10151334648.
2. How to calculate the LCM of 651, 954, 161, 738, 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 651, 954, 161, 738, 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}.