LCM of 573, 342, 796, 105, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 342, 796, 105, 247 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 573, 342, 796, 105, 247. So, keep reading to learn more.
Given numbers are 573,342,796,105,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,342,796,105,247 is 11829160980.
Find LCM of 573,342,796,105,247 with Prime Factorization
| 2 | 573, 342, 796, 105, 247 |
| 3 | 573, 171, 398, 105, 247 |
| 19 | 191, 57, 398, 35, 247 |
| 191, 3, 398, 35, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 191 x 3 x 398 x 35 x 13 = 11829160980
Therefore, the lowest common multiple of 573,342,796,105,247 is 11829160980.
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.
573 x 342 x 796 x 105 x 247 = 4045573055160
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.
573 : 1, 3, 191, 573
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
796 : 1, 2, 4, 199, 398, 796
105 : 1, 3, 5, 7, 15, 21, 35, 105
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,342,796,105,247, is 1.
Now, the common factors can be found like this.
573:3x 191
342:2x 3x 3x 19
796:2x 2x 199
105:3x 5x 7
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 4045573055160/(1x342)
LCM = 4045573055160/342
LCM = 11829160980
Thus, we can understand that the LCM of 573,342,796,105,247 is 11829160980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 573, 342, 796, 105, 247
1. What is the LCM of 573, 342, 796, 105, 247?
Answer: LCM of 573, 342, 796, 105, 247 is 11829160980.
2. How to calculate the LCM of 573, 342, 796, 105, 247?
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 573, 342, 796, 105, 247.
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}.