LCM of 354, 627, 120, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 627, 120, 159 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 354, 627, 120, 159. So, keep reading to learn more.
Given numbers are 354,627,120,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,627,120,159 is 78425160.
Find LCM of 354,627,120,159 with Prime Factorization
| 2 | 354, 627, 120, 159 |
| 3 | 177, 627, 60, 159 |
| 59, 209, 20, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 209 x 20 x 53 = 78425160
Therefore, the lowest common multiple of 354,627,120,159 is 78425160.
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.
354 x 627 x 120 x 159 = 4234958640
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
627 : 1, 3, 11, 19, 33, 57, 209, 627
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
159 : 1, 3, 53, 159
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,627,120,159, is 3.
Now, the common factors can be found like this.
354:2x 3x 59
627:3x 11x 19
120:2x 2x 2x 3x 5
159:3x 53
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 3 = 18
Therefore, the value for common factors is 18.
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 = 4234958640/(3x18)
LCM = 4234958640/54
LCM = 78425160
Thus, we can understand that the LCM of 354,627,120,159 is 78425160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 354, 627, 120, 159
1. What is the LCM of 354, 627, 120, 159?
Answer: LCM of 354, 627, 120, 159 is 78425160.
2. How to calculate the LCM of 354, 627, 120, 159?
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 354, 627, 120, 159.
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}.