LCM of 750, 728, 428, 321, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 728, 428, 321, 435 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 750, 728, 428, 321, 435. So, keep reading to learn more.
Given numbers are 750,728,428,321,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,728,428,321,435 is 847119000.
Find LCM of 750,728,428,321,435 with Prime Factorization
| 2 | 750, 728, 428, 321, 435 |
| 2 | 375, 364, 214, 321, 435 |
| 3 | 375, 182, 107, 321, 435 |
| 5 | 125, 182, 107, 107, 145 |
| 107 | 25, 182, 107, 107, 29 |
| 25, 182, 1, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 107 x 25 x 182 x 1 x 1 x 29 = 847119000
Therefore, the lowest common multiple of 750,728,428,321,435 is 847119000.
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.
750 x 728 x 428 x 321 x 435 = 32631023880000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
428 : 1, 2, 4, 107, 214, 428
321 : 1, 3, 107, 321
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,728,428,321,435, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
728:2x 2x 2x 7x 13
428:2x 2x 107
321:3x 107
435:3x 5x 29
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 2x 3x 3x 5x 107 = 38520
Therefore, the value for common factors is 38520.
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 = 32631023880000/(1x38520)
LCM = 32631023880000/38520
LCM = 847119000
Thus, we can understand that the LCM of 750,728,428,321,435 is 847119000.
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FAQs on LCM of 750, 728, 428, 321, 435
1. What is the LCM of 750, 728, 428, 321, 435?
Answer: LCM of 750, 728, 428, 321, 435 is 847119000.
2. How to calculate the LCM of 750, 728, 428, 321, 435?
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 750, 728, 428, 321, 435.
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}.