LCM of 141, 392, 392, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 141, 392, 392, 835 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 141, 392, 392, 835. So, keep reading to learn more.
Given numbers are 141,392,392,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,392,392,835 is 46152120.
Find LCM of 141,392,392,835 with Prime Factorization
| 2 | 141, 392, 392, 835 |
| 2 | 141, 196, 196, 835 |
| 2 | 141, 98, 98, 835 |
| 7 | 141, 49, 49, 835 |
| 7 | 141, 7, 7, 835 |
| 141, 1, 1, 835 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 7 x 141 x 1 x 1 x 835 = 46152120
Therefore, the lowest common multiple of 141,392,392,835 is 46152120.
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.
141 x 392 x 392 x 835 = 18091631040
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.
141 : 1, 3, 47, 141
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,392,392,835, is 1.
Now, the common factors can be found like this.
141:3x 47
392:2x 2x 2x 7x 7
392:2x 2x 2x 7x 7
835:5x 167
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 2x 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 18091631040/(1x392)
LCM = 18091631040/392
LCM = 46152120
Thus, we can understand that the LCM of 141,392,392,835 is 46152120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 141, 392, 392, 835
1. What is the LCM of 141, 392, 392, 835?
Answer: LCM of 141, 392, 392, 835 is 46152120.
2. How to calculate the LCM of 141, 392, 392, 835?
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 141, 392, 392, 835.
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}.