LCM of 712, 343, 952, 406, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 343, 952, 406, 842 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 712, 343, 952, 406, 842. So, keep reading to learn more.
Given numbers are 712,343,952,406,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,343,952,406,842 is 50687763448.
Find LCM of 712,343,952,406,842 with Prime Factorization
| 2 | 712, 343, 952, 406, 842 |
| 2 | 356, 343, 476, 203, 421 |
| 2 | 178, 343, 238, 203, 421 |
| 7 | 89, 343, 119, 203, 421 |
| 89, 49, 17, 29, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 89 x 49 x 17 x 29 x 421 = 50687763448
Therefore, the lowest common multiple of 712,343,952,406,842 is 50687763448.
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.
712 x 343 x 952 x 406 x 842 = 79478413086464
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
343 : 1, 7, 49, 343
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
406 : 1, 2, 7, 14, 29, 58, 203, 406
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,343,952,406,842, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
343:7x 7x 7
952:2x 2x 2x 7x 17
406:2x 7x 29
842:2x 421
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 2x 2x 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 79478413086464/(1x1568)
LCM = 79478413086464/1568
LCM = 50687763448
Thus, we can understand that the LCM of 712,343,952,406,842 is 50687763448.
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FAQs on LCM of 712, 343, 952, 406, 842
1. What is the LCM of 712, 343, 952, 406, 842?
Answer: LCM of 712, 343, 952, 406, 842 is 50687763448.
2. How to calculate the LCM of 712, 343, 952, 406, 842?
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 712, 343, 952, 406, 842.
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}.