LCM of 489, 707, 245, 143, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 707, 245, 143, 822 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 489, 707, 245, 143, 822. So, keep reading to learn more.
Given numbers are 489,707,245,143,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,707,245,143,822 is 474114150510.
Find LCM of 489,707,245,143,822 with Prime Factorization
| 3 | 489, 707, 245, 143, 822 |
| 7 | 163, 707, 245, 143, 274 |
| 163, 101, 35, 143, 274 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 163 x 101 x 35 x 143 x 274 = 474114150510
Therefore, the lowest common multiple of 489,707,245,143,822 is 474114150510.
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.
489 x 707 x 245 x 143 x 822 = 9956397160710
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.
489 : 1, 3, 163, 489
707 : 1, 7, 101, 707
245 : 1, 5, 7, 35, 49, 245
143 : 1, 11, 13, 143
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,707,245,143,822, is 1.
Now, the common factors can be found like this.
489:3x 163
707:7x 101
245:5x 7x 7
143:11x 13
822:2x 3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 9956397160710/(1x21)
LCM = 9956397160710/21
LCM = 474114150510
Thus, we can understand that the LCM of 489,707,245,143,822 is 474114150510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 489, 707, 245, 143, 822
1. What is the LCM of 489, 707, 245, 143, 822?
Answer: LCM of 489, 707, 245, 143, 822 is 474114150510.
2. How to calculate the LCM of 489, 707, 245, 143, 822?
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 489, 707, 245, 143, 822.
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}.