LCM of 454, 300, 188, 145, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 300, 188, 145, 524 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 454, 300, 188, 145, 524. So, keep reading to learn more.
Given numbers are 454,300,188,145,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,300,188,145,524 is 12159459300.
Find LCM of 454,300,188,145,524 with Prime Factorization
| 2 | 454, 300, 188, 145, 524 |
| 2 | 227, 150, 94, 145, 262 |
| 5 | 227, 75, 47, 145, 131 |
| 227, 15, 47, 29, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 227 x 15 x 47 x 29 x 131 = 12159459300
Therefore, the lowest common multiple of 454,300,188,145,524 is 12159459300.
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.
454 x 300 x 188 x 145 x 524 = 1945513488000
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.
454 : 1, 2, 227, 454
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
188 : 1, 2, 4, 47, 94, 188
145 : 1, 5, 29, 145
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,300,188,145,524, is 1.
Now, the common factors can be found like this.
454:2x 227
300:2x 2x 3x 5x 5
188:2x 2x 47
145:5x 29
524:2x 2x 131
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 2x 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 1945513488000/(1x160)
LCM = 1945513488000/160
LCM = 12159459300
Thus, we can understand that the LCM of 454,300,188,145,524 is 12159459300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 454, 300, 188, 145, 524
1. What is the LCM of 454, 300, 188, 145, 524?
Answer: LCM of 454, 300, 188, 145, 524 is 12159459300.
2. How to calculate the LCM of 454, 300, 188, 145, 524?
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 454, 300, 188, 145, 524.
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}.