LCM of 894, 480, 592, 725, 430
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 480, 592, 725, 430 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 894, 480, 592, 725, 430. So, keep reading to learn more.
Given numbers are 894,480,592,725,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,480,592,725,430 is 16499306400.
Find LCM of 894,480,592,725,430 with Prime Factorization
| 2 | 894, 480, 592, 725, 430 |
| 2 | 447, 240, 296, 725, 215 |
| 2 | 447, 120, 148, 725, 215 |
| 2 | 447, 60, 74, 725, 215 |
| 3 | 447, 30, 37, 725, 215 |
| 5 | 149, 10, 37, 725, 215 |
| 149, 2, 37, 145, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 149 x 2 x 37 x 145 x 43 = 16499306400
Therefore, the lowest common multiple of 894,480,592,725,430 is 16499306400.
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.
894 x 480 x 592 x 725 x 430 = 79196670720000
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
725 : 1, 5, 25, 29, 145, 725
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,480,592,725,430, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
480:2x 2x 2x 2x 2x 3x 5
592:2x 2x 2x 2x 37
725:5x 5x 29
430:2x 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 2x 2x 2x 2x 2x 3x 5x 5 = 4800
Therefore, the value for common factors is 4800.
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 = 79196670720000/(1x4800)
LCM = 79196670720000/4800
LCM = 16499306400
Thus, we can understand that the LCM of 894,480,592,725,430 is 16499306400.
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FAQs on LCM of 894, 480, 592, 725, 430
1. What is the LCM of 894, 480, 592, 725, 430?
Answer: LCM of 894, 480, 592, 725, 430 is 16499306400.
2. How to calculate the LCM of 894, 480, 592, 725, 430?
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 894, 480, 592, 725, 430.
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}.