LCM of 964, 902, 946, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 902, 946, 241 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 964, 902, 946, 241. So, keep reading to learn more.
Given numbers are 964,902,946,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,902,946,241 is 18694852.
Find LCM of 964,902,946,241 with Prime Factorization
| 2 | 964, 902, 946, 241 |
| 11 | 482, 451, 473, 241 |
| 241 | 482, 41, 43, 241 |
| 2, 41, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 241 x 2 x 41 x 43 x 1 = 18694852
Therefore, the lowest common multiple of 964,902,946,241 is 18694852.
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.
964 x 902 x 946 x 241 = 198240210608
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.
964 : 1, 2, 4, 241, 482, 964
902 : 1, 2, 11, 22, 41, 82, 451, 902
946 : 1, 2, 11, 22, 43, 86, 473, 946
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,902,946,241, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
902:2x 11x 41
946:2x 11x 43
241:241
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 11x 241 = 10604
Therefore, the value for common factors is 10604.
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 = 198240210608/(1x10604)
LCM = 198240210608/10604
LCM = 18694852
Thus, we can understand that the LCM of 964,902,946,241 is 18694852.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 902, 946, 241
1. What is the LCM of 964, 902, 946, 241?
Answer: LCM of 964, 902, 946, 241 is 18694852.
2. How to calculate the LCM of 964, 902, 946, 241?
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 964, 902, 946, 241.
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}.