LCM of 572, 611, 623, 590, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 611, 623, 590, 577 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, 623, 590, 577. So, keep reading to learn more.
Given numbers are 572,611,623,590,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,611,623,590,577 is 2850885417380.
Find LCM of 572,611,623,590,577 with Prime Factorization
| 2 | 572, 611, 623, 590, 577 |
| 13 | 286, 611, 623, 295, 577 |
| 22, 47, 623, 295, 577 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 22 x 47 x 623 x 295 x 577 = 2850885417380
Therefore, the lowest common multiple of 572,611,623,590,577 is 2850885417380.
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 623 x 590 x 577 = 74123020851880
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
623 : 1, 7, 89, 623
590 : 1, 2, 5, 10, 59, 118, 295, 590
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,611,623,590,577, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
611:13x 47
623:7x 89
590:2x 5x 59
577:577
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 74123020851880/(1x26)
LCM = 74123020851880/26
LCM = 2850885417380
Thus, we can understand that the LCM of 572,611,623,590,577 is 2850885417380.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 572, 611, 623, 590, 577
1. What is the LCM of 572, 611, 623, 590, 577?
Answer: LCM of 572, 611, 623, 590, 577 is 2850885417380.
2. How to calculate the LCM of 572, 611, 623, 590, 577?
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, 623, 590, 577.
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}.