LCM of 487, 889, 747, 951, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 889, 747, 951, 421 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 487, 889, 747, 951, 421. So, keep reading to learn more.
Given numbers are 487,889,747,951,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,889,747,951,421 is 43161117641397.
Find LCM of 487,889,747,951,421 with Prime Factorization
| 3 | 487, 889, 747, 951, 421 |
| 487, 889, 249, 317, 421 |
Multiply the prime numbers at the bottom and the left side.
3 x 487 x 889 x 249 x 317 x 421 = 43161117641397
Therefore, the lowest common multiple of 487,889,747,951,421 is 43161117641397.
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.
487 x 889 x 747 x 951 x 421 = 129483352924191
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.
487 : 1, 487
889 : 1, 7, 127, 889
747 : 1, 3, 9, 83, 249, 747
951 : 1, 3, 317, 951
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,889,747,951,421, is 1.
Now, the common factors can be found like this.
487:487
889:7x 127
747:3x 3x 83
951:3x 317
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 129483352924191/(1x3)
LCM = 129483352924191/3
LCM = 43161117641397
Thus, we can understand that the LCM of 487,889,747,951,421 is 43161117641397.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 487, 889, 747, 951, 421
1. What is the LCM of 487, 889, 747, 951, 421?
Answer: LCM of 487, 889, 747, 951, 421 is 43161117641397.
2. How to calculate the LCM of 487, 889, 747, 951, 421?
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 487, 889, 747, 951, 421.
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}.