LCM of 429, 978, 834, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 978, 834, 144 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, 978, 834, 144. So, keep reading to learn more.
Given numbers are 429,978,834,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,978,834,144 is 466552944.
Find LCM of 429,978,834,144 with Prime Factorization
| 2 | 429, 978, 834, 144 |
| 3 | 429, 489, 417, 72 |
| 143, 163, 139, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 163 x 139 x 24 = 466552944
Therefore, the lowest common multiple of 429,978,834,144 is 466552944.
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 978 x 834 x 144 = 50387717952
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
834 : 1, 2, 3, 6, 139, 278, 417, 834
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,978,834,144, is 3.
Now, the common factors can be found like this.
429:3x 11x 13
978:2x 3x 163
834:2x 3x 139
144:2x 2x 2x 2x 3x 3
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 50387717952/(3x36)
LCM = 50387717952/108
LCM = 466552944
Thus, we can understand that the LCM of 429,978,834,144 is 466552944.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 978, 834, 144
1. What is the LCM of 429, 978, 834, 144?
Answer: LCM of 429, 978, 834, 144 is 466552944.
2. How to calculate the LCM of 429, 978, 834, 144?
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, 978, 834, 144.
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}.