LCM of 933, 824, 490, 890, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 824, 490, 890, 363 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 933, 824, 490, 890, 363. So, keep reading to learn more.
Given numbers are 933,824,490,890,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,824,490,890,363 is 2028384656760.
Find LCM of 933,824,490,890,363 with Prime Factorization
| 2 | 933, 824, 490, 890, 363 |
| 3 | 933, 412, 245, 445, 363 |
| 5 | 311, 412, 245, 445, 121 |
| 311, 412, 49, 89, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 311 x 412 x 49 x 89 x 121 = 2028384656760
Therefore, the lowest common multiple of 933,824,490,890,363 is 2028384656760.
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.
933 x 824 x 490 x 890 x 363 = 121703079405600
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.
933 : 1, 3, 311, 933
824 : 1, 2, 4, 8, 103, 206, 412, 824
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
890 : 1, 2, 5, 10, 89, 178, 445, 890
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,824,490,890,363, is 1.
Now, the common factors can be found like this.
933:3x 311
824:2x 2x 2x 103
490:2x 5x 7x 7
890:2x 5x 89
363:3x 11x 11
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 121703079405600/(1x60)
LCM = 121703079405600/60
LCM = 2028384656760
Thus, we can understand that the LCM of 933,824,490,890,363 is 2028384656760.
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FAQs on LCM of 933, 824, 490, 890, 363
1. What is the LCM of 933, 824, 490, 890, 363?
Answer: LCM of 933, 824, 490, 890, 363 is 2028384656760.
2. How to calculate the LCM of 933, 824, 490, 890, 363?
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 933, 824, 490, 890, 363.
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}.