LCM of 568, 864, 213, 778, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 568, 864, 213, 778, 932 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 568, 864, 213, 778, 932. So, keep reading to learn more.
Given numbers are 568,864,213,778,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,864,213,778,932 is 5560036128.
Find LCM of 568,864,213,778,932 with Prime Factorization
| 2 | 568, 864, 213, 778, 932 |
| 2 | 284, 432, 213, 389, 466 |
| 2 | 142, 216, 213, 389, 233 |
| 3 | 71, 108, 213, 389, 233 |
| 71 | 71, 36, 71, 389, 233 |
| 1, 36, 1, 389, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 71 x 1 x 36 x 1 x 389 x 233 = 5560036128
Therefore, the lowest common multiple of 568,864,213,778,932 is 5560036128.
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.
568 x 864 x 213 x 778 x 932 = 75794412496896
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
213 : 1, 3, 71, 213
778 : 1, 2, 389, 778
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,864,213,778,932, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
864:2x 2x 2x 2x 2x 3x 3x 3
213:3x 71
778:2x 389
932:2x 2x 233
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 3x 71 = 13632
Therefore, the value for common factors is 13632.
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 = 75794412496896/(1x13632)
LCM = 75794412496896/13632
LCM = 5560036128
Thus, we can understand that the LCM of 568,864,213,778,932 is 5560036128.
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FAQs on LCM of 568, 864, 213, 778, 932
1. What is the LCM of 568, 864, 213, 778, 932?
Answer: LCM of 568, 864, 213, 778, 932 is 5560036128.
2. How to calculate the LCM of 568, 864, 213, 778, 932?
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 568, 864, 213, 778, 932.
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}.