LCM of 833, 721, 782, 978, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 833, 721, 782, 978, 329 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 833, 721, 782, 978, 329. So, keep reading to learn more.
Given numbers are 833,721,782,978,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 833,721,782,978,329 is 90708247182.
Find LCM of 833,721,782,978,329 with Prime Factorization
| 2 | 833, 721, 782, 978, 329 |
| 7 | 833, 721, 391, 489, 329 |
| 17 | 119, 103, 391, 489, 47 |
| 7, 103, 23, 489, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 7 x 103 x 23 x 489 x 47 = 90708247182
Therefore, the lowest common multiple of 833,721,782,978,329 is 90708247182.
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.
833 x 721 x 782 x 978 x 329 = 151119939805212
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.
833 : 1, 7, 17, 49, 119, 833
721 : 1, 7, 103, 721
782 : 1, 2, 17, 23, 34, 46, 391, 782
978 : 1, 2, 3, 6, 163, 326, 489, 978
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,721,782,978,329, is 1.
Now, the common factors can be found like this.
833:7x 7x 17
721:7x 103
782:2x 17x 23
978:2x 3x 163
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 17 = 1666
Therefore, the value for common factors is 1666.
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 = 151119939805212/(1x1666)
LCM = 151119939805212/1666
LCM = 90708247182
Thus, we can understand that the LCM of 833,721,782,978,329 is 90708247182.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 833, 721, 782, 978, 329
1. What is the LCM of 833, 721, 782, 978, 329?
Answer: LCM of 833, 721, 782, 978, 329 is 90708247182.
2. How to calculate the LCM of 833, 721, 782, 978, 329?
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 833, 721, 782, 978, 329.
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}.