Find the LCM of 546, 221, 680, 574 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 546, 221, 680, 574. So, keep reading to learn more.
Given numbers are 546,221,680,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,221,680,574 is 7611240.
Find LCM of 546,221,680,574 with Prime Factorization
2 | 546, 221, 680, 574 |
7 | 273, 221, 340, 287 |
13 | 39, 221, 340, 41 |
17 | 3, 17, 340, 41 |
3, 1, 20, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 17 x 3 x 1 x 20 x 41 = 7611240
Therefore, the lowest common multiple of 546,221,680,574 is 7611240.
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.
546 x 221 x 680 x 574 = 47098353120
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
221 : 1, 13, 17, 221
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,221,680,574, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
221:13x 17
680:2x 2x 2x 5x 17
574:2x 7x 41
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 7x 13x 17 = 6188
Therefore, the value for common factors is 6188.
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 = 47098353120/(1x6188)
LCM = 47098353120/6188
LCM = 7611240
Thus, we can understand that the LCM of 546,221,680,574 is 7611240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 546, 221, 680, 574?
Answer: LCM of 546, 221, 680, 574 is 7611240.
2. How to calculate the LCM of 546, 221, 680, 574?
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 546, 221, 680, 574.
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}.