Find the LCM of 273, 624, 682, 572 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 273, 624, 682, 572. So, keep reading to learn more.
Given numbers are 273,624,682,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,624,682,572 is 1489488.
Find LCM of 273,624,682,572 with Prime Factorization
2 | 273, 624, 682, 572 |
2 | 273, 312, 341, 286 |
3 | 273, 156, 341, 143 |
11 | 91, 52, 341, 143 |
13 | 91, 52, 31, 13 |
7, 4, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 7 x 4 x 31 x 1 = 1489488
Therefore, the lowest common multiple of 273,624,682,572 is 1489488.
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.
273 x 624 x 682 x 572 = 66454996608
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
682 : 1, 2, 11, 22, 31, 62, 341, 682
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,624,682,572, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
624:2x 2x 2x 2x 3x 13
682:2x 11x 31
572:2x 2x 11x 13
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 11x 13x 13 = 44616
Therefore, the value for common factors is 44616.
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 = 66454996608/(1x44616)
LCM = 66454996608/44616
LCM = 1489488
Thus, we can understand that the LCM of 273,624,682,572 is 1489488.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 273, 624, 682, 572?
Answer: LCM of 273, 624, 682, 572 is 1489488.
2. How to calculate the LCM of 273, 624, 682, 572?
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 273, 624, 682, 572.
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}.