LCM of 565, 778, 144, 824, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 778, 144, 824, 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 565, 778, 144, 824, 678. So, keep reading to learn more.
Given numbers are 565,778,144,824,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,778,144,824,678 is 3259851120.
Find LCM of 565,778,144,824,678 with Prime Factorization
| 2 | 565, 778, 144, 824, 678 |
| 2 | 565, 389, 72, 412, 339 |
| 2 | 565, 389, 36, 206, 339 |
| 3 | 565, 389, 18, 103, 339 |
| 113 | 565, 389, 6, 103, 113 |
| 5, 389, 6, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 113 x 5 x 389 x 6 x 103 x 1 = 3259851120
Therefore, the lowest common multiple of 565,778,144,824,678 is 3259851120.
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.
565 x 778 x 144 x 824 x 678 = 35362864949760
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.
565 : 1, 5, 113, 565
778 : 1, 2, 389, 778
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
824 : 1, 2, 4, 8, 103, 206, 412, 824
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 565,778,144,824,678, is 1.
Now, the common factors can be found like this.
565:5x 113
778:2x 389
144:2x 2x 2x 2x 3x 3
824:2x 2x 2x 103
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 2x 3x 113 = 10848
Therefore, the value for common factors is 10848.
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 = 35362864949760/(1x10848)
LCM = 35362864949760/10848
LCM = 3259851120
Thus, we can understand that the LCM of 565,778,144,824,678 is 3259851120.
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FAQs on LCM of 565, 778, 144, 824, 678
1. What is the LCM of 565, 778, 144, 824, 678?
Answer: LCM of 565, 778, 144, 824, 678 is 3259851120.
2. How to calculate the LCM of 565, 778, 144, 824, 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 565, 778, 144, 824, 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}.