LCM of 233, 862, 714, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 862, 714, 489 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 233, 862, 714, 489. So, keep reading to learn more.
Given numbers are 233,862,714,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,862,714,489 is 11687429586.
Find LCM of 233,862,714,489 with Prime Factorization
| 2 | 233, 862, 714, 489 |
| 3 | 233, 431, 357, 489 |
| 233, 431, 119, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 233 x 431 x 119 x 163 = 11687429586
Therefore, the lowest common multiple of 233,862,714,489 is 11687429586.
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.
233 x 862 x 714 x 489 = 70124577516
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.
233 : 1, 233
862 : 1, 2, 431, 862
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,862,714,489, is 1.
Now, the common factors can be found like this.
233:233
862:2x 431
714:2x 3x 7x 17
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 70124577516/(1x6)
LCM = 70124577516/6
LCM = 11687429586
Thus, we can understand that the LCM of 233,862,714,489 is 11687429586.
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FAQs on LCM of 233, 862, 714, 489
1. What is the LCM of 233, 862, 714, 489?
Answer: LCM of 233, 862, 714, 489 is 11687429586.
2. How to calculate the LCM of 233, 862, 714, 489?
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 233, 862, 714, 489.
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}.