LCM of 893, 240, 228, 554, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 240, 228, 554, 960 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, 240, 228, 554, 960. So, keep reading to learn more.
Given numbers are 893,240,228,554,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,240,228,554,960 is 237466560.
Find LCM of 893,240,228,554,960 with Prime Factorization
| 2 | 893, 240, 228, 554, 960 |
| 2 | 893, 120, 114, 277, 480 |
| 2 | 893, 60, 57, 277, 240 |
| 2 | 893, 30, 57, 277, 120 |
| 3 | 893, 15, 57, 277, 60 |
| 5 | 893, 5, 19, 277, 20 |
| 19 | 893, 1, 19, 277, 4 |
| 47, 1, 1, 277, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 19 x 47 x 1 x 1 x 277 x 4 = 237466560
Therefore, the lowest common multiple of 893,240,228,554,960 is 237466560.
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 240 x 228 x 554 x 960 = 25988340326400
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
554 : 1, 2, 277, 554
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,240,228,554,960, is 1.
Now, the common factors can be found like this.
893:19x 47
240:2x 2x 2x 2x 3x 5
228:2x 2x 3x 19
554:2x 277
960:2x 2x 2x 2x 2x 2x 3x 5
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 3x 3x 5x 19 = 109440
Therefore, the value for common factors is 109440.
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 = 25988340326400/(1x109440)
LCM = 25988340326400/109440
LCM = 237466560
Thus, we can understand that the LCM of 893,240,228,554,960 is 237466560.
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FAQs on LCM of 893, 240, 228, 554, 960
1. What is the LCM of 893, 240, 228, 554, 960?
Answer: LCM of 893, 240, 228, 554, 960 is 237466560.
2. How to calculate the LCM of 893, 240, 228, 554, 960?
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, 240, 228, 554, 960.
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}.