LCM of 889, 219, 498, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 219, 498, 257 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, 219, 498, 257. So, keep reading to learn more.
Given numbers are 889,219,498,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,219,498,257 is 8305907442.
Find LCM of 889,219,498,257 with Prime Factorization
| 3 | 889, 219, 498, 257 |
| 889, 73, 166, 257 |
Multiply the prime numbers at the bottom and the left side.
3 x 889 x 73 x 166 x 257 = 8305907442
Therefore, the lowest common multiple of 889,219,498,257 is 8305907442.
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 219 x 498 x 257 = 24917722326
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
219 : 1, 3, 73, 219
498 : 1, 2, 3, 6, 83, 166, 249, 498
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,219,498,257, is 1.
Now, the common factors can be found like this.
889:7x 127
219:3x 73
498:2x 3x 83
257:257
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 = 24917722326/(1x3)
LCM = 24917722326/3
LCM = 8305907442
Thus, we can understand that the LCM of 889,219,498,257 is 8305907442.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 889, 219, 498, 257
1. What is the LCM of 889, 219, 498, 257?
Answer: LCM of 889, 219, 498, 257 is 8305907442.
2. How to calculate the LCM of 889, 219, 498, 257?
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, 219, 498, 257.
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}.