LCM of 894, 360, 960, 685, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 360, 960, 685, 672 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, 360, 960, 685, 672. So, keep reading to learn more.
Given numbers are 894,360,960,685,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,360,960,685,672 is 411526080.
Find LCM of 894,360,960,685,672 with Prime Factorization
| 2 | 894, 360, 960, 685, 672 |
| 2 | 447, 180, 480, 685, 336 |
| 2 | 447, 90, 240, 685, 168 |
| 2 | 447, 45, 120, 685, 84 |
| 2 | 447, 45, 60, 685, 42 |
| 3 | 447, 45, 30, 685, 21 |
| 5 | 149, 15, 10, 685, 7 |
| 149, 3, 2, 137, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 149 x 3 x 2 x 137 x 7 = 411526080
Therefore, the lowest common multiple of 894,360,960,685,672 is 411526080.
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 360 x 960 x 685 x 672 = 142223413248000
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
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
685 : 1, 5, 137, 685
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,360,960,685,672, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
360:2x 2x 2x 3x 3x 5
960:2x 2x 2x 2x 2x 2x 3x 5
685:5x 137
672:2x 2x 2x 2x 2x 3x 7
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 2x 2x 2x 3x 3x 3x 5x 5 = 345600
Therefore, the value for common factors is 345600.
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 = 142223413248000/(1x345600)
LCM = 142223413248000/345600
LCM = 411526080
Thus, we can understand that the LCM of 894,360,960,685,672 is 411526080.
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FAQs on LCM of 894, 360, 960, 685, 672
1. What is the LCM of 894, 360, 960, 685, 672?
Answer: LCM of 894, 360, 960, 685, 672 is 411526080.
2. How to calculate the LCM of 894, 360, 960, 685, 672?
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, 360, 960, 685, 672.
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}.