LCM of 429, 345, 149, 978, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 345, 149, 978, 382 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, 345, 149, 978, 382. So, keep reading to learn more.
Given numbers are 429,345,149,978,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,345,149,978,382 is 457712073390.
Find LCM of 429,345,149,978,382 with Prime Factorization
| 2 | 429, 345, 149, 978, 382 |
| 3 | 429, 345, 149, 489, 191 |
| 143, 115, 149, 163, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 115 x 149 x 163 x 191 = 457712073390
Therefore, the lowest common multiple of 429,345,149,978,382 is 457712073390.
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 345 x 149 x 978 x 382 = 8238817321020
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
345 : 1, 3, 5, 15, 23, 69, 115, 345
149 : 1, 149
978 : 1, 2, 3, 6, 163, 326, 489, 978
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,345,149,978,382, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
345:3x 5x 23
149:149
978:2x 3x 163
382:2x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 8238817321020/(1x18)
LCM = 8238817321020/18
LCM = 457712073390
Thus, we can understand that the LCM of 429,345,149,978,382 is 457712073390.
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FAQs on LCM of 429, 345, 149, 978, 382
1. What is the LCM of 429, 345, 149, 978, 382?
Answer: LCM of 429, 345, 149, 978, 382 is 457712073390.
2. How to calculate the LCM of 429, 345, 149, 978, 382?
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, 345, 149, 978, 382.
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}.