LCM of 295, 402, 162, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 295, 402, 162, 431 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 295, 402, 162, 431. So, keep reading to learn more.
Given numbers are 295,402,162,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,402,162,431 is 1380031830.
Find LCM of 295,402,162,431 with Prime Factorization
| 2 | 295, 402, 162, 431 |
| 3 | 295, 201, 81, 431 |
| 295, 67, 27, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 295 x 67 x 27 x 431 = 1380031830
Therefore, the lowest common multiple of 295,402,162,431 is 1380031830.
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.
295 x 402 x 162 x 431 = 8280190980
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.
295 : 1, 5, 59, 295
402 : 1, 2, 3, 6, 67, 134, 201, 402
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,402,162,431, is 1.
Now, the common factors can be found like this.
295:5x 59
402:2x 3x 67
162:2x 3x 3x 3x 3
431:431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 8280190980/(1x6)
LCM = 8280190980/6
LCM = 1380031830
Thus, we can understand that the LCM of 295,402,162,431 is 1380031830.
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FAQs on LCM of 295, 402, 162, 431
1. What is the LCM of 295, 402, 162, 431?
Answer: LCM of 295, 402, 162, 431 is 1380031830.
2. How to calculate the LCM of 295, 402, 162, 431?
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 295, 402, 162, 431.
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}.