Find the LCM of 564, 680, 384, 348 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 564, 680, 384, 348. So, keep reading to learn more.
Given numbers are 564,680,384,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,680,384,348 is 44488320.
Find LCM of 564,680,384,348 with Prime Factorization
2 | 564, 680, 384, 348 |
2 | 282, 340, 192, 174 |
2 | 141, 170, 96, 87 |
3 | 141, 85, 48, 87 |
47, 85, 16, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 47 x 85 x 16 x 29 = 44488320
Therefore, the lowest common multiple of 564,680,384,348 is 44488320.
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.
564 x 680 x 384 x 348 = 51250544640
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,680,384,348, is 4.
Now, the common factors can be found like this.
564:2x 2x 3x 47
680:2x 2x 2x 5x 17
384:2x 2x 2x 2x 2x 2x 2x 3
348:2x 2x 3x 29
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 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 51250544640/(4x288)
LCM = 51250544640/1152
LCM = 44488320
Thus, we can understand that the LCM of 564,680,384,348 is 44488320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 680, 384, 348?
Answer: LCM of 564, 680, 384, 348 is 44488320.
2. How to calculate the LCM of 564, 680, 384, 348?
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 564, 680, 384, 348.
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}.