LCM of 718, 675, 675, 749, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 718, 675, 675, 749, 428 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 718, 675, 675, 749, 428. So, keep reading to learn more.
Given numbers are 718,675,675,749,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,675,675,749,428 is 726005700.
Find LCM of 718,675,675,749,428 with Prime Factorization
| 2 | 718, 675, 675, 749, 428 |
| 3 | 359, 675, 675, 749, 214 |
| 3 | 359, 225, 225, 749, 214 |
| 3 | 359, 75, 75, 749, 214 |
| 5 | 359, 25, 25, 749, 214 |
| 5 | 359, 5, 5, 749, 214 |
| 107 | 359, 1, 1, 749, 214 |
| 359, 1, 1, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 5 x 107 x 359 x 1 x 1 x 7 x 2 = 726005700
Therefore, the lowest common multiple of 718,675,675,749,428 is 726005700.
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.
718 x 675 x 675 x 749 x 428 = 104871523365000
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.
718 : 1, 2, 359, 718
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
749 : 1, 7, 107, 749
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,675,675,749,428, is 1.
Now, the common factors can be found like this.
718:2x 359
675:3x 3x 3x 5x 5
675:3x 3x 3x 5x 5
749:7x 107
428:2x 2x 107
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 3x 3x 5x 5x 107 = 144450
Therefore, the value for common factors is 144450.
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 = 104871523365000/(1x144450)
LCM = 104871523365000/144450
LCM = 726005700
Thus, we can understand that the LCM of 718,675,675,749,428 is 726005700.
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FAQs on LCM of 718, 675, 675, 749, 428
1. What is the LCM of 718, 675, 675, 749, 428?
Answer: LCM of 718, 675, 675, 749, 428 is 726005700.
2. How to calculate the LCM of 718, 675, 675, 749, 428?
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 718, 675, 675, 749, 428.
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}.