LCM of 244, 744, 977, 340, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 244, 744, 977, 340, 682 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 244, 744, 977, 340, 682. So, keep reading to learn more.
Given numbers are 244,744,977,340,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 244,744,977,340,682 is 41458057080.
Find LCM of 244,744,977,340,682 with Prime Factorization
| 2 | 244, 744, 977, 340, 682 |
| 2 | 122, 372, 977, 170, 341 |
| 31 | 61, 186, 977, 85, 341 |
| 61, 6, 977, 85, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 61 x 6 x 977 x 85 x 11 = 41458057080
Therefore, the lowest common multiple of 244,744,977,340,682 is 41458057080.
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.
244 x 744 x 977 x 340 x 682 = 41126392623360
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.
244 : 1, 2, 4, 61, 122, 244
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
977 : 1, 977
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,744,977,340,682, is 1.
Now, the common factors can be found like this.
244:2x 2x 61
744:2x 2x 2x 3x 31
977:977
340:2x 2x 5x 17
682:2x 11x 31
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 31 = 992
Therefore, the value for common factors is 992.
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 = 41126392623360/(1x992)
LCM = 41126392623360/992
LCM = 41458057080
Thus, we can understand that the LCM of 244,744,977,340,682 is 41458057080.
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FAQs on LCM of 244, 744, 977, 340, 682
1. What is the LCM of 244, 744, 977, 340, 682?
Answer: LCM of 244, 744, 977, 340, 682 is 41458057080.
2. How to calculate the LCM of 244, 744, 977, 340, 682?
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 244, 744, 977, 340, 682.
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}.