LCM of 429, 460, 398, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 460, 398, 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 429, 460, 398, 342. So, keep reading to learn more.
Given numbers are 429,460,398,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,460,398,342 is 2238427620.
Find LCM of 429,460,398,342 with Prime Factorization
| 2 | 429, 460, 398, 342 |
| 3 | 429, 230, 199, 171 |
| 143, 230, 199, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 230 x 199 x 57 = 2238427620
Therefore, the lowest common multiple of 429,460,398,342 is 2238427620.
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.
429 x 460 x 398 x 342 = 26861131440
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
398 : 1, 2, 199, 398
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 429,460,398,342, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
460:2x 2x 5x 23
398:2x 199
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 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 26861131440/(1x12)
LCM = 26861131440/12
LCM = 2238427620
Thus, we can understand that the LCM of 429,460,398,342 is 2238427620.
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FAQs on LCM of 429, 460, 398, 342
1. What is the LCM of 429, 460, 398, 342?
Answer: LCM of 429, 460, 398, 342 is 2238427620.
2. How to calculate the LCM of 429, 460, 398, 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 429, 460, 398, 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}.