Find the LCM of 884, 748, 495, 564, 685 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 884, 748, 495, 564, 685. So, keep reading to learn more.
Given numbers are 884,748,495,564,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,748,495,564,685 is 2817577620.
Find LCM of 884,748,495,564,685 with Prime Factorization
2 | 884, 748, 495, 564, 685 |
2 | 442, 374, 495, 282, 685 |
3 | 221, 187, 495, 141, 685 |
5 | 221, 187, 165, 47, 685 |
11 | 221, 187, 33, 47, 137 |
17 | 221, 17, 3, 47, 137 |
13, 1, 3, 47, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 17 x 13 x 1 x 3 x 47 x 137 = 2817577620
Therefore, the lowest common multiple of 884,748,495,564,685 is 2817577620.
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.
884 x 748 x 495 x 564 x 685 = 126452883585600
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,748,495,564,685, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
748:2x 2x 11x 17
495:3x 3x 5x 11
564:2x 2x 3x 47
685:5x 137
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 3x 5x 11x 17 = 44880
Therefore, the value for common factors is 44880.
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 = 126452883585600/(1x44880)
LCM = 126452883585600/44880
LCM = 2817577620
Thus, we can understand that the LCM of 884,748,495,564,685 is 2817577620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 884, 748, 495, 564, 685?
Answer: LCM of 884, 748, 495, 564, 685 is 2817577620.
2. How to calculate the LCM of 884, 748, 495, 564, 685?
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 884, 748, 495, 564, 685.
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}.