Find the LCM of 894, 826, 680, 748, 224 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 894, 826, 680, 748, 224. So, keep reading to learn more.
Given numbers are 894,826,680,748,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,826,680,748,224 is 5523561120.
Find LCM of 894,826,680,748,224 with Prime Factorization
2 | 894, 826, 680, 748, 224 |
2 | 447, 413, 340, 374, 112 |
2 | 447, 413, 170, 187, 56 |
7 | 447, 413, 85, 187, 28 |
17 | 447, 59, 85, 187, 4 |
447, 59, 5, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 447 x 59 x 5 x 11 x 4 = 5523561120
Therefore, the lowest common multiple of 894,826,680,748,224 is 5523561120.
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.
894 x 826 x 680 x 748 x 224 = 84134882979840
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
826 : 1, 2, 7, 14, 59, 118, 413, 826
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,826,680,748,224, is 2.
Now, the common factors can be found like this.
894:2x 3x 149
826:2x 7x 59
680:2x 2x 2x 5x 17
748:2x 2x 11x 17
224:2x 2x 2x 2x 2x 7
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 2x 7x 17 = 7616
Therefore, the value for common factors is 7616.
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 = 84134882979840/(2x7616)
LCM = 84134882979840/15232
LCM = 5523561120
Thus, we can understand that the LCM of 894,826,680,748,224 is 5523561120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 826, 680, 748, 224?
Answer: LCM of 894, 826, 680, 748, 224 is 5523561120.
2. How to calculate the LCM of 894, 826, 680, 748, 224?
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 894, 826, 680, 748, 224.
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}.