Find the LCM of 572, 598, 590, 142, 947 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, 598, 590, 142, 947. So, keep reading to learn more.
Given numbers are 572,598,590,142,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,598,590,142,947 is 260948141740.
Find LCM of 572,598,590,142,947 with Prime Factorization
2 | 572, 598, 590, 142, 947 |
13 | 286, 299, 295, 71, 947 |
22, 23, 295, 71, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 22 x 23 x 295 x 71 x 947 = 260948141740
Therefore, the lowest common multiple of 572,598,590,142,947 is 260948141740.
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 598 x 590 x 142 x 947 = 27138606740960
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
598 : 1, 2, 13, 23, 26, 46, 299, 598
590 : 1, 2, 5, 10, 59, 118, 295, 590
142 : 1, 2, 71, 142
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,598,590,142,947, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
598:2x 13x 23
590:2x 5x 59
142:2x 71
947:947
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 13 = 104
Therefore, the value for common factors is 104.
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 = 27138606740960/(1x104)
LCM = 27138606740960/104
LCM = 260948141740
Thus, we can understand that the LCM of 572,598,590,142,947 is 260948141740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 598, 590, 142, 947?
Answer: LCM of 572, 598, 590, 142, 947 is 260948141740.
2. How to calculate the LCM of 572, 598, 590, 142, 947?
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, 598, 590, 142, 947.
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}.