LCM of 235, 154, 450, 319, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 235, 154, 450, 319, 554 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 235, 154, 450, 319, 554. So, keep reading to learn more.
Given numbers are 235,154,450,319,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 235,154,450,319,554 is 13082142150.
Find LCM of 235,154,450,319,554 with Prime Factorization
| 2 | 235, 154, 450, 319, 554 |
| 5 | 235, 77, 225, 319, 277 |
| 11 | 47, 77, 45, 319, 277 |
| 47, 7, 45, 29, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 47 x 7 x 45 x 29 x 277 = 13082142150
Therefore, the lowest common multiple of 235,154,450,319,554 is 13082142150.
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.
235 x 154 x 450 x 319 x 554 = 2878071273000
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.
235 : 1, 5, 47, 235
154 : 1, 2, 7, 11, 14, 22, 77, 154
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
319 : 1, 11, 29, 319
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,154,450,319,554, is 1.
Now, the common factors can be found like this.
235:5x 47
154:2x 7x 11
450:2x 3x 3x 5x 5
319:11x 29
554:2x 277
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 2878071273000/(1x220)
LCM = 2878071273000/220
LCM = 13082142150
Thus, we can understand that the LCM of 235,154,450,319,554 is 13082142150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 235, 154, 450, 319, 554
1. What is the LCM of 235, 154, 450, 319, 554?
Answer: LCM of 235, 154, 450, 319, 554 is 13082142150.
2. How to calculate the LCM of 235, 154, 450, 319, 554?
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 235, 154, 450, 319, 554.
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}.