LCM of 154, 957, 290, 538, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 957, 290, 538, 899 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, 957, 290, 538, 899. So, keep reading to learn more.
Given numbers are 154,957,290,538,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,957,290,538,899 is 558629610.
Find LCM of 154,957,290,538,899 with Prime Factorization
| 2 | 154, 957, 290, 538, 899 |
| 11 | 77, 957, 145, 269, 899 |
| 29 | 7, 87, 145, 269, 899 |
| 7, 3, 5, 269, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 7 x 3 x 5 x 269 x 31 = 558629610
Therefore, the lowest common multiple of 154,957,290,538,899 is 558629610.
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 957 x 290 x 538 x 899 = 20671530088440
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
957 : 1, 3, 11, 29, 33, 87, 319, 957
290 : 1, 2, 5, 10, 29, 58, 145, 290
538 : 1, 2, 269, 538
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,957,290,538,899, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
957:3x 11x 29
290:2x 5x 29
538:2x 269
899:29x 31
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 11x 29x 29 = 37004
Therefore, the value for common factors is 37004.
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 = 20671530088440/(1x37004)
LCM = 20671530088440/37004
LCM = 558629610
Thus, we can understand that the LCM of 154,957,290,538,899 is 558629610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 154, 957, 290, 538, 899
1. What is the LCM of 154, 957, 290, 538, 899?
Answer: LCM of 154, 957, 290, 538, 899 is 558629610.
2. How to calculate the LCM of 154, 957, 290, 538, 899?
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, 957, 290, 538, 899.
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}.