Find the LCM of 562, 309, 429, 572, 262 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 562, 309, 429, 572, 262. So, keep reading to learn more.
Given numbers are 562,309,429,572,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,309,429,572,262 is 6506270628.
Find LCM of 562,309,429,572,262 with Prime Factorization
2 | 562, 309, 429, 572, 262 |
3 | 281, 309, 429, 286, 131 |
11 | 281, 103, 143, 286, 131 |
13 | 281, 103, 13, 26, 131 |
281, 103, 1, 2, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 281 x 103 x 1 x 2 x 131 = 6506270628
Therefore, the lowest common multiple of 562,309,429,572,262 is 6506270628.
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.
562 x 309 x 429 x 572 x 262 = 11164760397648
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.
562 : 1, 2, 281, 562
309 : 1, 3, 103, 309
429 : 1, 3, 11, 13, 33, 39, 143, 429
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,309,429,572,262, is 1.
Now, the common factors can be found like this.
562:2x 281
309:3x 103
429:3x 11x 13
572:2x 2x 11x 13
262:2x 131
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 3x 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 11164760397648/(1x1716)
LCM = 11164760397648/1716
LCM = 6506270628
Thus, we can understand that the LCM of 562,309,429,572,262 is 6506270628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 562, 309, 429, 572, 262?
Answer: LCM of 562, 309, 429, 572, 262 is 6506270628.
2. How to calculate the LCM of 562, 309, 429, 572, 262?
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 562, 309, 429, 572, 262.
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}.