LCM of 938, 649, 744, 997, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 649, 744, 997, 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 938, 649, 744, 997, 682. So, keep reading to learn more.
Given numbers are 938,649,744,997,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,649,744,997,682 is 225780085608.
Find LCM of 938,649,744,997,682 with Prime Factorization
| 2 | 938, 649, 744, 997, 682 |
| 11 | 469, 649, 372, 997, 341 |
| 31 | 469, 59, 372, 997, 31 |
| 469, 59, 12, 997, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 469 x 59 x 12 x 997 x 1 = 225780085608
Therefore, the lowest common multiple of 938,649,744,997,682 is 225780085608.
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.
938 x 649 x 744 x 997 x 682 = 307964036769312
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
649 : 1, 11, 59, 649
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
997 : 1, 997
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 938,649,744,997,682, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
649:11x 59
744:2x 2x 2x 3x 31
997:997
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 11x 31 = 1364
Therefore, the value for common factors is 1364.
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 = 307964036769312/(1x1364)
LCM = 307964036769312/1364
LCM = 225780085608
Thus, we can understand that the LCM of 938,649,744,997,682 is 225780085608.
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FAQs on LCM of 938, 649, 744, 997, 682
1. What is the LCM of 938, 649, 744, 997, 682?
Answer: LCM of 938, 649, 744, 997, 682 is 225780085608.
2. How to calculate the LCM of 938, 649, 744, 997, 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 938, 649, 744, 997, 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}.