LCM of 572, 611, 246, 423, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 611, 246, 423, 556 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 572, 611, 246, 423, 556. So, keep reading to learn more.
Given numbers are 572,611,246,423,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,611,246,423,556 is 1378907244.
Find LCM of 572,611,246,423,556 with Prime Factorization
| 2 | 572, 611, 246, 423, 556 |
| 2 | 286, 611, 123, 423, 278 |
| 3 | 143, 611, 123, 423, 139 |
| 13 | 143, 611, 41, 141, 139 |
| 47 | 11, 47, 41, 141, 139 |
| 11, 1, 41, 3, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 47 x 11 x 1 x 41 x 3 x 139 = 1378907244
Therefore, the lowest common multiple of 572,611,246,423,556 is 1378907244.
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.
572 x 611 x 246 x 423 x 556 = 20220295826016
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
611 : 1, 13, 47, 611
246 : 1, 2, 3, 6, 41, 82, 123, 246
423 : 1, 3, 9, 47, 141, 423
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,611,246,423,556, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
611:13x 47
246:2x 3x 41
423:3x 3x 47
556:2x 2x 139
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 3x 13x 47 = 14664
Therefore, the value for common factors is 14664.
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 = 20220295826016/(1x14664)
LCM = 20220295826016/14664
LCM = 1378907244
Thus, we can understand that the LCM of 572,611,246,423,556 is 1378907244.
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FAQs on LCM of 572, 611, 246, 423, 556
1. What is the LCM of 572, 611, 246, 423, 556?
Answer: LCM of 572, 611, 246, 423, 556 is 1378907244.
2. How to calculate the LCM of 572, 611, 246, 423, 556?
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 572, 611, 246, 423, 556.
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}.