LCM of 431, 169, 676, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 169, 676, 342 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 431, 169, 676, 342. So, keep reading to learn more.
Given numbers are 431,169,676,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,169,676,342 is 49821876.
Find LCM of 431,169,676,342 with Prime Factorization
| 2 | 431, 169, 676, 342 |
| 13 | 431, 169, 338, 171 |
| 13 | 431, 13, 26, 171 |
| 431, 1, 2, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 431 x 1 x 2 x 171 = 49821876
Therefore, the lowest common multiple of 431,169,676,342 is 49821876.
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.
431 x 169 x 676 x 342 = 16839794088
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.
431 : 1, 431
169 : 1, 13, 169
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,169,676,342, is 1.
Now, the common factors can be found like this.
431:431
169:13x 13
676:2x 2x 13x 13
342:2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 16839794088/(1x338)
LCM = 16839794088/338
LCM = 49821876
Thus, we can understand that the LCM of 431,169,676,342 is 49821876.
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FAQs on LCM of 431, 169, 676, 342
1. What is the LCM of 431, 169, 676, 342?
Answer: LCM of 431, 169, 676, 342 is 49821876.
2. How to calculate the LCM of 431, 169, 676, 342?
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 431, 169, 676, 342.
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}.