LCM of 675, 715, 321, 403, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 675, 715, 321, 403, 749 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 675, 715, 321, 403, 749. So, keep reading to learn more.
Given numbers are 675,715,321,403,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 675,715,321,403,749 is 2241213975.
Find LCM of 675,715,321,403,749 with Prime Factorization
| 3 | 675, 715, 321, 403, 749 |
| 5 | 225, 715, 107, 403, 749 |
| 13 | 45, 143, 107, 403, 749 |
| 107 | 45, 11, 107, 31, 749 |
| 45, 11, 1, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 107 x 45 x 11 x 1 x 31 x 7 = 2241213975
Therefore, the lowest common multiple of 675,715,321,403,749 is 2241213975.
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.
675 x 715 x 321 x 403 x 749 = 46762929588375
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.
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
715 : 1, 5, 11, 13, 55, 65, 143, 715
321 : 1, 3, 107, 321
403 : 1, 13, 31, 403
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,715,321,403,749, is 1.
Now, the common factors can be found like this.
675:3x 3x 3x 5x 5
715:5x 11x 13
321:3x 107
403:13x 31
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13x 107 = 20865
Therefore, the value for common factors is 20865.
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 = 46762929588375/(1x20865)
LCM = 46762929588375/20865
LCM = 2241213975
Thus, we can understand that the LCM of 675,715,321,403,749 is 2241213975.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 675, 715, 321, 403, 749
1. What is the LCM of 675, 715, 321, 403, 749?
Answer: LCM of 675, 715, 321, 403, 749 is 2241213975.
2. How to calculate the LCM of 675, 715, 321, 403, 749?
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 675, 715, 321, 403, 749.
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}.