Find the LCM of 572, 754, 580, 535 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, 754, 580, 535. So, keep reading to learn more.
Given numbers are 572,754,580,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,754,580,535 is 8874580.
Find LCM of 572,754,580,535 with Prime Factorization
2 | 572, 754, 580, 535 |
2 | 286, 377, 290, 535 |
5 | 143, 377, 145, 535 |
13 | 143, 377, 29, 107 |
29 | 11, 29, 29, 107 |
11, 1, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 29 x 11 x 1 x 1 x 107 = 8874580
Therefore, the lowest common multiple of 572,754,580,535 is 8874580.
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 754 x 580 x 535 = 133828666400
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,754,580,535, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
754:2x 13x 29
580:2x 2x 5x 29
535:5x 107
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 5x 13x 29 = 15080
Therefore, the value for common factors is 15080.
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 = 133828666400/(1x15080)
LCM = 133828666400/15080
LCM = 8874580
Thus, we can understand that the LCM of 572,754,580,535 is 8874580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 754, 580, 535?
Answer: LCM of 572, 754, 580, 535 is 8874580.
2. How to calculate the LCM of 572, 754, 580, 535?
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, 754, 580, 535.
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}.