LCM of 896, 750, 893, 917, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 750, 893, 917, 190 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 896, 750, 893, 917, 190. So, keep reading to learn more.
Given numbers are 896,750,893,917,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,750,893,917,190 is 39306288000.
Find LCM of 896,750,893,917,190 with Prime Factorization
| 2 | 896, 750, 893, 917, 190 |
| 5 | 448, 375, 893, 917, 95 |
| 7 | 448, 75, 893, 917, 19 |
| 19 | 64, 75, 893, 131, 19 |
| 64, 75, 47, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 19 x 64 x 75 x 47 x 131 x 1 = 39306288000
Therefore, the lowest common multiple of 896,750,893,917,190 is 39306288000.
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.
896 x 750 x 893 x 917 x 190 = 104554726080000
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
893 : 1, 19, 47, 893
917 : 1, 7, 131, 917
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,750,893,917,190, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
750:2x 3x 5x 5x 5
893:19x 47
917:7x 131
190:2x 5x 19
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 5x 7x 19 = 2660
Therefore, the value for common factors is 2660.
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 = 104554726080000/(1x2660)
LCM = 104554726080000/2660
LCM = 39306288000
Thus, we can understand that the LCM of 896,750,893,917,190 is 39306288000.
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FAQs on LCM of 896, 750, 893, 917, 190
1. What is the LCM of 896, 750, 893, 917, 190?
Answer: LCM of 896, 750, 893, 917, 190 is 39306288000.
2. How to calculate the LCM of 896, 750, 893, 917, 190?
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 896, 750, 893, 917, 190.
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}.