LCM of 876, 735, 706, 216, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 735, 706, 216, 333 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 876, 735, 706, 216, 333. So, keep reading to learn more.
Given numbers are 876,735,706,216,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,735,706,216,333 is 50456732760.
Find LCM of 876,735,706,216,333 with Prime Factorization
| 2 | 876, 735, 706, 216, 333 |
| 2 | 438, 735, 353, 108, 333 |
| 3 | 219, 735, 353, 54, 333 |
| 3 | 73, 245, 353, 18, 111 |
| 73, 245, 353, 6, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 73 x 245 x 353 x 6 x 37 = 50456732760
Therefore, the lowest common multiple of 876,735,706,216,333 is 50456732760.
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.
876 x 735 x 706 x 216 x 333 = 32695962828480
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
706 : 1, 2, 353, 706
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,735,706,216,333, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
735:3x 5x 7x 7
706:2x 353
216:2x 2x 2x 3x 3x 3
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 32695962828480/(1x648)
LCM = 32695962828480/648
LCM = 50456732760
Thus, we can understand that the LCM of 876,735,706,216,333 is 50456732760.
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FAQs on LCM of 876, 735, 706, 216, 333
1. What is the LCM of 876, 735, 706, 216, 333?
Answer: LCM of 876, 735, 706, 216, 333 is 50456732760.
2. How to calculate the LCM of 876, 735, 706, 216, 333?
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 876, 735, 706, 216, 333.
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}.