LCM of 570, 648, 619, 676, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 648, 619, 676, 678 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 570, 648, 619, 676, 678. So, keep reading to learn more.
Given numbers are 570,648,619,676,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,648,619,676,678 is 727703407080.
Find LCM of 570,648,619,676,678 with Prime Factorization
| 2 | 570, 648, 619, 676, 678 |
| 2 | 285, 324, 619, 338, 339 |
| 3 | 285, 162, 619, 169, 339 |
| 95, 54, 619, 169, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 95 x 54 x 619 x 169 x 113 = 727703407080
Therefore, the lowest common multiple of 570,648,619,676,678 is 727703407080.
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.
570 x 648 x 619 x 676 x 678 = 104789290619520
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
619 : 1, 619
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,648,619,676,678, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
648:2x 2x 2x 3x 3x 3x 3
619:619
676:2x 2x 13x 13
678:2x 3x 113
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 104789290619520/(1x144)
LCM = 104789290619520/144
LCM = 727703407080
Thus, we can understand that the LCM of 570,648,619,676,678 is 727703407080.
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FAQs on LCM of 570, 648, 619, 676, 678
1. What is the LCM of 570, 648, 619, 676, 678?
Answer: LCM of 570, 648, 619, 676, 678 is 727703407080.
2. How to calculate the LCM of 570, 648, 619, 676, 678?
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 570, 648, 619, 676, 678.
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}.