LCM of 946, 913, 189, 753, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 913, 189, 753, 368 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 946, 913, 189, 753, 368. So, keep reading to learn more.
Given numbers are 946,913,189,753,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,913,189,753,368 is 685366033968.
Find LCM of 946,913,189,753,368 with Prime Factorization
| 2 | 946, 913, 189, 753, 368 |
| 3 | 473, 913, 189, 753, 184 |
| 11 | 473, 913, 63, 251, 184 |
| 43, 83, 63, 251, 184 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 43 x 83 x 63 x 251 x 184 = 685366033968
Therefore, the lowest common multiple of 946,913,189,753,368 is 685366033968.
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.
946 x 913 x 189 x 753 x 368 = 45234158241888
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
913 : 1, 11, 83, 913
189 : 1, 3, 7, 9, 21, 27, 63, 189
753 : 1, 3, 251, 753
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,913,189,753,368, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
913:11x 83
189:3x 3x 3x 7
753:3x 251
368:2x 2x 2x 2x 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 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 45234158241888/(1x66)
LCM = 45234158241888/66
LCM = 685366033968
Thus, we can understand that the LCM of 946,913,189,753,368 is 685366033968.
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FAQs on LCM of 946, 913, 189, 753, 368
1. What is the LCM of 946, 913, 189, 753, 368?
Answer: LCM of 946, 913, 189, 753, 368 is 685366033968.
2. How to calculate the LCM of 946, 913, 189, 753, 368?
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 946, 913, 189, 753, 368.
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}.