LCM of 412, 978, 229, 458, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 978, 229, 458, 671 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 412, 978, 229, 458, 671. So, keep reading to learn more.
Given numbers are 412,978,229,458,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,978,229,458,671 is 30957371412.
Find LCM of 412,978,229,458,671 with Prime Factorization
| 2 | 412, 978, 229, 458, 671 |
| 229 | 206, 489, 229, 229, 671 |
| 206, 489, 1, 1, 671 |
Multiply the prime numbers at the bottom and the left side.
2 x 229 x 206 x 489 x 1 x 1 x 671 = 30957371412
Therefore, the lowest common multiple of 412,978,229,458,671 is 30957371412.
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.
412 x 978 x 229 x 458 x 671 = 28356952213392
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.
412 : 1, 2, 4, 103, 206, 412
978 : 1, 2, 3, 6, 163, 326, 489, 978
229 : 1, 229
458 : 1, 2, 229, 458
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,978,229,458,671, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
978:2x 3x 163
229:229
458:2x 229
671:11x 61
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 229 = 916
Therefore, the value for common factors is 916.
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 = 28356952213392/(1x916)
LCM = 28356952213392/916
LCM = 30957371412
Thus, we can understand that the LCM of 412,978,229,458,671 is 30957371412.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 412, 978, 229, 458, 671
1. What is the LCM of 412, 978, 229, 458, 671?
Answer: LCM of 412, 978, 229, 458, 671 is 30957371412.
2. How to calculate the LCM of 412, 978, 229, 458, 671?
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 412, 978, 229, 458, 671.
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}.