LCM of 889, 763, 248, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 763, 248, 458 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 889, 763, 248, 458. So, keep reading to learn more.
Given numbers are 889,763,248,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,763,248,458 is 5503201592.
Find LCM of 889,763,248,458 with Prime Factorization
| 2 | 889, 763, 248, 458 |
| 7 | 889, 763, 124, 229 |
| 127, 109, 124, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 127 x 109 x 124 x 229 = 5503201592
Therefore, the lowest common multiple of 889,763,248,458 is 5503201592.
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.
889 x 763 x 248 x 458 = 77044822288
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.
889 : 1, 7, 127, 889
763 : 1, 7, 109, 763
248 : 1, 2, 4, 8, 31, 62, 124, 248
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,763,248,458, is 1.
Now, the common factors can be found like this.
889:7x 127
763:7x 109
248:2x 2x 2x 31
458:2x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 77044822288/(1x14)
LCM = 77044822288/14
LCM = 5503201592
Thus, we can understand that the LCM of 889,763,248,458 is 5503201592.
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FAQs on LCM of 889, 763, 248, 458
1. What is the LCM of 889, 763, 248, 458?
Answer: LCM of 889, 763, 248, 458 is 5503201592.
2. How to calculate the LCM of 889, 763, 248, 458?
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 889, 763, 248, 458.
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}.