LCM of 454, 150, 156, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 150, 156, 299 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, 150, 156, 299. So, keep reading to learn more.
Given numbers are 454,150,156,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,150,156,299 is 20361900.
Find LCM of 454,150,156,299 with Prime Factorization
| 2 | 454, 150, 156, 299 |
| 3 | 227, 75, 78, 299 |
| 13 | 227, 25, 26, 299 |
| 227, 25, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 227 x 25 x 2 x 23 = 20361900
Therefore, the lowest common multiple of 454,150,156,299 is 20361900.
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 150 x 156 x 299 = 3176456400
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
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,150,156,299, is 1.
Now, the common factors can be found like this.
454:2x 227
150:2x 3x 5x 5
156:2x 2x 3x 13
299:13x 23
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 3176456400/(1x156)
LCM = 3176456400/156
LCM = 20361900
Thus, we can understand that the LCM of 454,150,156,299 is 20361900.
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FAQs on LCM of 454, 150, 156, 299
1. What is the LCM of 454, 150, 156, 299?
Answer: LCM of 454, 150, 156, 299 is 20361900.
2. How to calculate the LCM of 454, 150, 156, 299?
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, 150, 156, 299.
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}.