Find the LCM of 154, 869, 627, 408, 969 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 154, 869, 627, 408, 969. So, keep reading to learn more.
Given numbers are 154,869,627,408,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,869,627,408,969 is 47155416.
Find LCM of 154,869,627,408,969 with Prime Factorization
2 | 154, 869, 627, 408, 969 |
3 | 77, 869, 627, 204, 969 |
11 | 77, 869, 209, 68, 323 |
17 | 7, 79, 19, 68, 323 |
19 | 7, 79, 19, 4, 19 |
7, 79, 1, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 19 x 7 x 79 x 1 x 4 x 1 = 47155416
Therefore, the lowest common multiple of 154,869,627,408,969 is 47155416.
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.
154 x 869 x 627 x 408 x 969 = 33173552223504
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
869 : 1, 11, 79, 869
627 : 1, 3, 11, 19, 33, 57, 209, 627
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,869,627,408,969, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
869:11x 79
627:3x 11x 19
408:2x 2x 2x 3x 17
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 11x 17x 19 = 703494
Therefore, the value for common factors is 703494.
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 = 33173552223504/(1x703494)
LCM = 33173552223504/703494
LCM = 47155416
Thus, we can understand that the LCM of 154,869,627,408,969 is 47155416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 869, 627, 408, 969?
Answer: LCM of 154, 869, 627, 408, 969 is 47155416.
2. How to calculate the LCM of 154, 869, 627, 408, 969?
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 154, 869, 627, 408, 969.
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}.