LCM of 406, 347, 871, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 406, 347, 871, 156 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 406, 347, 871, 156. So, keep reading to learn more.
Given numbers are 406,347,871,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,347,871,156 is 736249332.
Find LCM of 406,347,871,156 with Prime Factorization
| 2 | 406, 347, 871, 156 |
| 13 | 203, 347, 871, 78 |
| 203, 347, 67, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 203 x 347 x 67 x 6 = 736249332
Therefore, the lowest common multiple of 406,347,871,156 is 736249332.
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.
406 x 347 x 871 x 156 = 19142482632
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
347 : 1, 347
871 : 1, 13, 67, 871
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,347,871,156, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
347:347
871:13x 67
156:2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 19142482632/(1x26)
LCM = 19142482632/26
LCM = 736249332
Thus, we can understand that the LCM of 406,347,871,156 is 736249332.
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FAQs on LCM of 406, 347, 871, 156
1. What is the LCM of 406, 347, 871, 156?
Answer: LCM of 406, 347, 871, 156 is 736249332.
2. How to calculate the LCM of 406, 347, 871, 156?
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 406, 347, 871, 156.
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}.