LCM of 315, 647, 651, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 647, 651, 744 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 315, 647, 651, 744. So, keep reading to learn more.
Given numbers are 315,647,651,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,647,651,744 is 50543640.
Find LCM of 315,647,651,744 with Prime Factorization
| 3 | 315, 647, 651, 744 |
| 7 | 105, 647, 217, 248 |
| 31 | 15, 647, 31, 248 |
| 15, 647, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 31 x 15 x 647 x 1 x 8 = 50543640
Therefore, the lowest common multiple of 315,647,651,744 is 50543640.
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.
315 x 647 x 651 x 744 = 98711728920
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
647 : 1, 647
651 : 1, 3, 7, 21, 31, 93, 217, 651
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,647,651,744, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
647:647
651:3x 7x 31
744:2x 2x 2x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 31 = 1953
Therefore, the value for common factors is 1953.
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 = 98711728920/(1x1953)
LCM = 98711728920/1953
LCM = 50543640
Thus, we can understand that the LCM of 315,647,651,744 is 50543640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 647, 651, 744
1. What is the LCM of 315, 647, 651, 744?
Answer: LCM of 315, 647, 651, 744 is 50543640.
2. How to calculate the LCM of 315, 647, 651, 744?
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 315, 647, 651, 744.
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}.