LCM of 384, 266, 560, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 266, 560, 723 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 384, 266, 560, 723. So, keep reading to learn more.
Given numbers are 384,266,560,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,266,560,723 is 61541760.
Find LCM of 384,266,560,723 with Prime Factorization
| 2 | 384, 266, 560, 723 |
| 2 | 192, 133, 280, 723 |
| 2 | 96, 133, 140, 723 |
| 2 | 48, 133, 70, 723 |
| 3 | 24, 133, 35, 723 |
| 7 | 8, 133, 35, 241 |
| 8, 19, 5, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 8 x 19 x 5 x 241 = 61541760
Therefore, the lowest common multiple of 384,266,560,723 is 61541760.
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.
384 x 266 x 560 x 723 = 41356062720
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
266 : 1, 2, 7, 14, 19, 38, 133, 266
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,266,560,723, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
266:2x 7x 19
560:2x 2x 2x 2x 5x 7
723:3x 241
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 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 41356062720/(1x672)
LCM = 41356062720/672
LCM = 61541760
Thus, we can understand that the LCM of 384,266,560,723 is 61541760.
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FAQs on LCM of 384, 266, 560, 723
1. What is the LCM of 384, 266, 560, 723?
Answer: LCM of 384, 266, 560, 723 is 61541760.
2. How to calculate the LCM of 384, 266, 560, 723?
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 384, 266, 560, 723.
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}.