LCM of 628, 976, 828, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 976, 828, 621 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 628, 976, 828, 621. So, keep reading to learn more.
Given numbers are 628,976,828,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,976,828,621 is 95157072.
Find LCM of 628,976,828,621 with Prime Factorization
| 2 | 628, 976, 828, 621 |
| 2 | 314, 488, 414, 621 |
| 3 | 157, 244, 207, 621 |
| 3 | 157, 244, 69, 207 |
| 23 | 157, 244, 23, 69 |
| 157, 244, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 157 x 244 x 1 x 3 = 95157072
Therefore, the lowest common multiple of 628,976,828,621 is 95157072.
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.
628 x 976 x 828 x 621 = 315160222464
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.
628 : 1, 2, 4, 157, 314, 628
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,976,828,621, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
976:2x 2x 2x 2x 61
828:2x 2x 3x 3x 23
621:3x 3x 3x 23
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 3x 3x 23 = 3312
Therefore, the value for common factors is 3312.
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 = 315160222464/(1x3312)
LCM = 315160222464/3312
LCM = 95157072
Thus, we can understand that the LCM of 628,976,828,621 is 95157072.
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FAQs on LCM of 628, 976, 828, 621
1. What is the LCM of 628, 976, 828, 621?
Answer: LCM of 628, 976, 828, 621 is 95157072.
2. How to calculate the LCM of 628, 976, 828, 621?
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 628, 976, 828, 621.
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}.