LCM of 933, 308, 710, 132, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 308, 710, 132, 446 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, 308, 710, 132, 446. So, keep reading to learn more.
Given numbers are 933,308,710,132,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,308,710,132,446 is 22749171060.
Find LCM of 933,308,710,132,446 with Prime Factorization
| 2 | 933, 308, 710, 132, 446 |
| 2 | 933, 154, 355, 66, 223 |
| 3 | 933, 77, 355, 33, 223 |
| 11 | 311, 77, 355, 11, 223 |
| 311, 7, 355, 1, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 311 x 7 x 355 x 1 x 223 = 22749171060
Therefore, the lowest common multiple of 933,308,710,132,446 is 22749171060.
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 308 x 710 x 132 x 446 = 12011562319680
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
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
710 : 1, 2, 5, 10, 71, 142, 355, 710
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,308,710,132,446, is 1.
Now, the common factors can be found like this.
933:3x 311
308:2x 2x 7x 11
710:2x 5x 71
132:2x 2x 3x 11
446:2x 223
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 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 12011562319680/(1x528)
LCM = 12011562319680/528
LCM = 22749171060
Thus, we can understand that the LCM of 933,308,710,132,446 is 22749171060.
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FAQs on LCM of 933, 308, 710, 132, 446
1. What is the LCM of 933, 308, 710, 132, 446?
Answer: LCM of 933, 308, 710, 132, 446 is 22749171060.
2. How to calculate the LCM of 933, 308, 710, 132, 446?
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, 308, 710, 132, 446.
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}.