LCM of 627, 628, 989, 956, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 628, 989, 956, 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 627, 628, 989, 956, 312. So, keep reading to learn more.
Given numbers are 627,628,989,956,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,628,989,956,312 is 2419884986376.
Find LCM of 627,628,989,956,312 with Prime Factorization
| 2 | 627, 628, 989, 956, 312 |
| 2 | 627, 314, 989, 478, 156 |
| 3 | 627, 157, 989, 239, 78 |
| 209, 157, 989, 239, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 209 x 157 x 989 x 239 x 26 = 2419884986376
Therefore, the lowest common multiple of 627,628,989,956,312 is 2419884986376.
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.
627 x 628 x 989 x 956 x 312 = 116154479346048
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
628 : 1, 2, 4, 157, 314, 628
989 : 1, 23, 43, 989
956 : 1, 2, 4, 239, 478, 956
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 627,628,989,956,312, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
628:2x 2x 157
989:23x 43
956:2x 2x 239
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 3 = 48
Therefore, the value for common factors is 48.
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 = 116154479346048/(1x48)
LCM = 116154479346048/48
LCM = 2419884986376
Thus, we can understand that the LCM of 627,628,989,956,312 is 2419884986376.
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FAQs on LCM of 627, 628, 989, 956, 312
1. What is the LCM of 627, 628, 989, 956, 312?
Answer: LCM of 627, 628, 989, 956, 312 is 2419884986376.
2. How to calculate the LCM of 627, 628, 989, 956, 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 627, 628, 989, 956, 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}.