LCM of 429, 107, 294, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 107, 294, 142 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, 107, 294, 142. So, keep reading to learn more.
Given numbers are 429,107,294,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,107,294,142 is 319393074.
Find LCM of 429,107,294,142 with Prime Factorization
| 2 | 429, 107, 294, 142 |
| 3 | 429, 107, 147, 71 |
| 143, 107, 49, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 107 x 49 x 71 = 319393074
Therefore, the lowest common multiple of 429,107,294,142 is 319393074.
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 107 x 294 x 142 = 1916358444
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
107 : 1, 107
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,107,294,142, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
107:107
294:2x 3x 7x 7
142:2x 71
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 = 1916358444/(1x6)
LCM = 1916358444/6
LCM = 319393074
Thus, we can understand that the LCM of 429,107,294,142 is 319393074.
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FAQs on LCM of 429, 107, 294, 142
1. What is the LCM of 429, 107, 294, 142?
Answer: LCM of 429, 107, 294, 142 is 319393074.
2. How to calculate the LCM of 429, 107, 294, 142?
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, 107, 294, 142.
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}.