LCM of 747, 651, 737, 682, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 651, 737, 682, 860 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 747, 651, 737, 682, 860. So, keep reading to learn more.
Given numbers are 747,651,737,682,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,651,737,682,860 is 102741588180.
Find LCM of 747,651,737,682,860 with Prime Factorization
| 2 | 747, 651, 737, 682, 860 |
| 3 | 747, 651, 737, 341, 430 |
| 11 | 249, 217, 737, 341, 430 |
| 31 | 249, 217, 67, 31, 430 |
| 249, 7, 67, 1, 430 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 31 x 249 x 7 x 67 x 1 x 430 = 102741588180
Therefore, the lowest common multiple of 747,651,737,682,860 is 102741588180.
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.
747 x 651 x 737 x 682 x 860 = 210209289416280
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.
747 : 1, 3, 9, 83, 249, 747
651 : 1, 3, 7, 21, 31, 93, 217, 651
737 : 1, 11, 67, 737
682 : 1, 2, 11, 22, 31, 62, 341, 682
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,651,737,682,860, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
651:3x 7x 31
737:11x 67
682:2x 11x 31
860:2x 2x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 31 = 2046
Therefore, the value for common factors is 2046.
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 = 210209289416280/(1x2046)
LCM = 210209289416280/2046
LCM = 102741588180
Thus, we can understand that the LCM of 747,651,737,682,860 is 102741588180.
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FAQs on LCM of 747, 651, 737, 682, 860
1. What is the LCM of 747, 651, 737, 682, 860?
Answer: LCM of 747, 651, 737, 682, 860 is 102741588180.
2. How to calculate the LCM of 747, 651, 737, 682, 860?
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 747, 651, 737, 682, 860.
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}.