LCM of 363, 472, 456, 139, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 472, 456, 139, 966 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 363, 472, 456, 139, 966. So, keep reading to learn more.
Given numbers are 363,472,456,139,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,472,456,139,966 is 72852238536.
Find LCM of 363,472,456,139,966 with Prime Factorization
| 2 | 363, 472, 456, 139, 966 |
| 2 | 363, 236, 228, 139, 483 |
| 2 | 363, 118, 114, 139, 483 |
| 3 | 363, 59, 57, 139, 483 |
| 121, 59, 19, 139, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 121 x 59 x 19 x 139 x 161 = 72852238536
Therefore, the lowest common multiple of 363,472,456,139,966 is 72852238536.
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.
363 x 472 x 456 x 139 x 966 = 10490722349184
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.
363 : 1, 3, 11, 33, 121, 363
472 : 1, 2, 4, 8, 59, 118, 236, 472
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
139 : 1, 139
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,472,456,139,966, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
472:2x 2x 2x 59
456:2x 2x 2x 3x 19
139:139
966:2x 3x 7x 23
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 3 = 144
Therefore, the value for common factors is 144.
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 = 10490722349184/(1x144)
LCM = 10490722349184/144
LCM = 72852238536
Thus, we can understand that the LCM of 363,472,456,139,966 is 72852238536.
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FAQs on LCM of 363, 472, 456, 139, 966
1. What is the LCM of 363, 472, 456, 139, 966?
Answer: LCM of 363, 472, 456, 139, 966 is 72852238536.
2. How to calculate the LCM of 363, 472, 456, 139, 966?
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 363, 472, 456, 139, 966.
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}.