Find the LCM of 154, 744, 785, 622, 254 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, 744, 785, 622, 254. So, keep reading to learn more.
Given numbers are 154,744,785,622,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,744,785,622,254 is 1776222746760.
Find LCM of 154,744,785,622,254 with Prime Factorization
2 | 154, 744, 785, 622, 254 |
77, 372, 785, 311, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 77 x 372 x 785 x 311 x 127 = 1776222746760
Therefore, the lowest common multiple of 154,744,785,622,254 is 1776222746760.
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 744 x 785 x 622 x 254 = 14209781974080
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
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
785 : 1, 5, 157, 785
622 : 1, 2, 311, 622
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,744,785,622,254, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
744:2x 2x 2x 3x 31
785:5x 157
622:2x 311
254:2x 127
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 2 = 8
Therefore, the value for common factors is 8.
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 = 14209781974080/(1x8)
LCM = 14209781974080/8
LCM = 1776222746760
Thus, we can understand that the LCM of 154,744,785,622,254 is 1776222746760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 744, 785, 622, 254?
Answer: LCM of 154, 744, 785, 622, 254 is 1776222746760.
2. How to calculate the LCM of 154, 744, 785, 622, 254?
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, 744, 785, 622, 254.
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}.