LCM of 711, 456, 570, 849, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 456, 570, 849, 779 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 711, 456, 570, 849, 779. So, keep reading to learn more.
Given numbers are 711,456,570,849,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,456,570,849,779 is 6269797080.
Find LCM of 711,456,570,849,779 with Prime Factorization
| 2 | 711, 456, 570, 849, 779 |
| 3 | 711, 228, 285, 849, 779 |
| 19 | 237, 76, 95, 283, 779 |
| 237, 4, 5, 283, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 237 x 4 x 5 x 283 x 41 = 6269797080
Therefore, the lowest common multiple of 711,456,570,849,779 is 6269797080.
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.
711 x 456 x 570 x 849 x 779 = 122223424277520
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.
711 : 1, 3, 9, 79, 237, 711
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
849 : 1, 3, 283, 849
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,456,570,849,779, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
456:2x 2x 2x 3x 19
570:2x 3x 5x 19
849:3x 283
779:19x 41
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 3x 19x 19 = 19494
Therefore, the value for common factors is 19494.
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 = 122223424277520/(1x19494)
LCM = 122223424277520/19494
LCM = 6269797080
Thus, we can understand that the LCM of 711,456,570,849,779 is 6269797080.
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FAQs on LCM of 711, 456, 570, 849, 779
1. What is the LCM of 711, 456, 570, 849, 779?
Answer: LCM of 711, 456, 570, 849, 779 is 6269797080.
2. How to calculate the LCM of 711, 456, 570, 849, 779?
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 711, 456, 570, 849, 779.
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}.