LCM of 893, 855, 320, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 855, 320, 940 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 893, 855, 320, 940. So, keep reading to learn more.
Given numbers are 893,855,320,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,855,320,940 is 2571840.
Find LCM of 893,855,320,940 with Prime Factorization
| 2 | 893, 855, 320, 940 |
| 2 | 893, 855, 160, 470 |
| 5 | 893, 855, 80, 235 |
| 19 | 893, 171, 16, 47 |
| 47 | 47, 9, 16, 47 |
| 1, 9, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 47 x 1 x 9 x 16 x 1 = 2571840
Therefore, the lowest common multiple of 893,855,320,940 is 2571840.
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.
893 x 855 x 320 x 940 = 229665312000
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.
893 : 1, 19, 47, 893
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,855,320,940, is 1.
Now, the common factors can be found like this.
893:19x 47
855:3x 3x 5x 19
320:2x 2x 2x 2x 2x 2x 5
940:2x 2x 5x 47
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 5x 19x 47 = 89300
Therefore, the value for common factors is 89300.
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 = 229665312000/(1x89300)
LCM = 229665312000/89300
LCM = 2571840
Thus, we can understand that the LCM of 893,855,320,940 is 2571840.
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FAQs on LCM of 893, 855, 320, 940
1. What is the LCM of 893, 855, 320, 940?
Answer: LCM of 893, 855, 320, 940 is 2571840.
2. How to calculate the LCM of 893, 855, 320, 940?
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 893, 855, 320, 940.
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}.