LCM of 883, 180, 175, 338, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 883, 180, 175, 338, 768 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 883, 180, 175, 338, 768. So, keep reading to learn more.
Given numbers are 883,180,175,338,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 883,180,175,338,768 is 60168326400.
Find LCM of 883,180,175,338,768 with Prime Factorization
| 2 | 883, 180, 175, 338, 768 |
| 2 | 883, 90, 175, 169, 384 |
| 3 | 883, 45, 175, 169, 192 |
| 5 | 883, 15, 175, 169, 64 |
| 883, 3, 35, 169, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 883 x 3 x 35 x 169 x 64 = 60168326400
Therefore, the lowest common multiple of 883,180,175,338,768 is 60168326400.
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.
883 x 180 x 175 x 338 x 768 = 7220199168000
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.
883 : 1, 883
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
175 : 1, 5, 7, 25, 35, 175
338 : 1, 2, 13, 26, 169, 338
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,180,175,338,768, is 1.
Now, the common factors can be found like this.
883:883
180:2x 2x 3x 3x 5
175:5x 5x 7
338:2x 13x 13
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 7220199168000/(1x120)
LCM = 7220199168000/120
LCM = 60168326400
Thus, we can understand that the LCM of 883,180,175,338,768 is 60168326400.
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FAQs on LCM of 883, 180, 175, 338, 768
1. What is the LCM of 883, 180, 175, 338, 768?
Answer: LCM of 883, 180, 175, 338, 768 is 60168326400.
2. How to calculate the LCM of 883, 180, 175, 338, 768?
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 883, 180, 175, 338, 768.
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}.