LCM of 151, 345, 476, 453
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 151, 345, 476, 453 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 151, 345, 476, 453. So, keep reading to learn more.
Given numbers are 151,345,476,453
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,345,476,453 is 24797220.
Find LCM of 151,345,476,453 with Prime Factorization
| 3 | 151, 345, 476, 453 |
| 151 | 151, 115, 476, 151 |
| 1, 115, 476, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 151 x 1 x 115 x 476 x 1 = 24797220
Therefore, the lowest common multiple of 151,345,476,453 is 24797220.
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.
151 x 345 x 476 x 453 = 11233140660
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.
151 : 1, 151
345 : 1, 3, 5, 15, 23, 69, 115, 345
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
453 : 1, 3, 151, 453
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,345,476,453, is 1.
Now, the common factors can be found like this.
151:151
345:3x 5x 23
476:2x 2x 7x 17
453:3x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 151 = 453
Therefore, the value for common factors is 453.
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 = 11233140660/(1x453)
LCM = 11233140660/453
LCM = 24797220
Thus, we can understand that the LCM of 151,345,476,453 is 24797220.
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FAQs on LCM of 151, 345, 476, 453
1. What is the LCM of 151, 345, 476, 453?
Answer: LCM of 151, 345, 476, 453 is 24797220.
2. How to calculate the LCM of 151, 345, 476, 453?
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 151, 345, 476, 453.
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}.