Find the LCM of 772, 684, 469, 988, 894 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 772, 684, 469, 988, 894. So, keep reading to learn more.
Given numbers are 772,684,469,988,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,684,469,988,894 is 119926697436.
Find LCM of 772,684,469,988,894 with Prime Factorization
2 | 772, 684, 469, 988, 894 |
2 | 386, 342, 469, 494, 447 |
3 | 193, 171, 469, 247, 447 |
19 | 193, 57, 469, 247, 149 |
193, 3, 469, 13, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 193 x 3 x 469 x 13 x 149 = 119926697436
Therefore, the lowest common multiple of 772,684,469,988,894 is 119926697436.
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.
772 x 684 x 469 x 988 x 894 = 218746296123264
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.
772 : 1, 2, 4, 193, 386, 772
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
469 : 1, 7, 67, 469
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,684,469,988,894, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
684:2x 2x 3x 3x 19
469:7x 67
988:2x 2x 13x 19
894:2x 3x 149
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 19 = 1824
Therefore, the value for common factors is 1824.
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 = 218746296123264/(1x1824)
LCM = 218746296123264/1824
LCM = 119926697436
Thus, we can understand that the LCM of 772,684,469,988,894 is 119926697436.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 772, 684, 469, 988, 894?
Answer: LCM of 772, 684, 469, 988, 894 is 119926697436.
2. How to calculate the LCM of 772, 684, 469, 988, 894?
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 772, 684, 469, 988, 894.
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}.