Find the LCM of 154, 616, 838, 362 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, 616, 838, 362. So, keep reading to learn more.
Given numbers are 154,616,838,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,616,838,362 is 46716824.
Find LCM of 154,616,838,362 with Prime Factorization
2 | 154, 616, 838, 362 |
7 | 77, 308, 419, 181 |
11 | 11, 44, 419, 181 |
1, 4, 419, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 1 x 4 x 419 x 181 = 46716824
Therefore, the lowest common multiple of 154,616,838,362 is 46716824.
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 616 x 838 x 362 = 28777563584
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
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
838 : 1, 2, 419, 838
362 : 1, 2, 181, 362
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,616,838,362, is 2.
Now, the common factors can be found like this.
154:2x 7x 11
616:2x 2x 2x 7x 11
838:2x 419
362:2x 181
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 28777563584/(2x308)
LCM = 28777563584/616
LCM = 46716824
Thus, we can understand that the LCM of 154,616,838,362 is 46716824.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 616, 838, 362?
Answer: LCM of 154, 616, 838, 362 is 46716824.
2. How to calculate the LCM of 154, 616, 838, 362?
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, 616, 838, 362.
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}.