LCM of 772, 621, 644, 980, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 621, 644, 980, 187 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 772, 621, 644, 980, 187. So, keep reading to learn more.
Given numbers are 772,621,644,980,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,621,644,980,187 is 21964260780.
Find LCM of 772,621,644,980,187 with Prime Factorization
| 2 | 772, 621, 644, 980, 187 |
| 2 | 386, 621, 322, 490, 187 |
| 7 | 193, 621, 161, 245, 187 |
| 23 | 193, 621, 23, 35, 187 |
| 193, 27, 1, 35, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 193 x 27 x 1 x 35 x 187 = 21964260780
Therefore, the lowest common multiple of 772,621,644,980,187 is 21964260780.
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.
772 x 621 x 644 x 980 x 187 = 56579935769280
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.
772 : 1, 2, 4, 193, 386, 772
621 : 1, 3, 9, 23, 27, 69, 207, 621
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,621,644,980,187, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
621:3x 3x 3x 23
644:2x 2x 7x 23
980:2x 2x 5x 7x 7
187:11x 17
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 7x 23 = 2576
Therefore, the value for common factors is 2576.
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 = 56579935769280/(1x2576)
LCM = 56579935769280/2576
LCM = 21964260780
Thus, we can understand that the LCM of 772,621,644,980,187 is 21964260780.
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FAQs on LCM of 772, 621, 644, 980, 187
1. What is the LCM of 772, 621, 644, 980, 187?
Answer: LCM of 772, 621, 644, 980, 187 is 21964260780.
2. How to calculate the LCM of 772, 621, 644, 980, 187?
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 772, 621, 644, 980, 187.
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}.