LCM of 705, 223, 988, 333, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 223, 988, 333, 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 705, 223, 988, 333, 257. So, keep reading to learn more.
Given numbers are 705,223,988,333,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,223,988,333,257 is 4431053837340.
Find LCM of 705,223,988,333,257 with Prime Factorization
| 3 | 705, 223, 988, 333, 257 |
| 235, 223, 988, 111, 257 |
Multiply the prime numbers at the bottom and the left side.
3 x 235 x 223 x 988 x 111 x 257 = 4431053837340
Therefore, the lowest common multiple of 705,223,988,333,257 is 4431053837340.
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.
705 x 223 x 988 x 333 x 257 = 13293161512020
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
223 : 1, 223
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
333 : 1, 3, 9, 37, 111, 333
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,223,988,333,257, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
223:223
988:2x 2x 13x 19
333:3x 3x 37
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 = 13293161512020/(1x3)
LCM = 13293161512020/3
LCM = 4431053837340
Thus, we can understand that the LCM of 705,223,988,333,257 is 4431053837340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 223, 988, 333, 257
1. What is the LCM of 705, 223, 988, 333, 257?
Answer: LCM of 705, 223, 988, 333, 257 is 4431053837340.
2. How to calculate the LCM of 705, 223, 988, 333, 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 705, 223, 988, 333, 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}.