LCM of 844, 120, 493, 768, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 120, 493, 768, 180 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 844, 120, 493, 768, 180. So, keep reading to learn more.
Given numbers are 844,120,493,768,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,120,493,768,180 is 1198344960.
Find LCM of 844,120,493,768,180 with Prime Factorization
| 2 | 844, 120, 493, 768, 180 |
| 2 | 422, 60, 493, 384, 90 |
| 2 | 211, 30, 493, 192, 45 |
| 3 | 211, 15, 493, 96, 45 |
| 5 | 211, 5, 493, 32, 15 |
| 211, 1, 493, 32, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 211 x 1 x 493 x 32 x 3 = 1198344960
Therefore, the lowest common multiple of 844,120,493,768,180 is 1198344960.
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.
844 x 120 x 493 x 768 x 180 = 6902466969600
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.
844 : 1, 2, 4, 211, 422, 844
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
493 : 1, 17, 29, 493
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,120,493,768,180, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
120:2x 2x 2x 3x 5
493:17x 29
768:2x 2x 2x 2x 2x 2x 2x 2x 3
180:2x 2x 3x 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 5 = 5760
Therefore, the value for common factors is 5760.
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 = 6902466969600/(1x5760)
LCM = 6902466969600/5760
LCM = 1198344960
Thus, we can understand that the LCM of 844,120,493,768,180 is 1198344960.
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FAQs on LCM of 844, 120, 493, 768, 180
1. What is the LCM of 844, 120, 493, 768, 180?
Answer: LCM of 844, 120, 493, 768, 180 is 1198344960.
2. How to calculate the LCM of 844, 120, 493, 768, 180?
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 844, 120, 493, 768, 180.
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}.