LCM of 836, 304, 253, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 304, 253, 946 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 836, 304, 253, 946. So, keep reading to learn more.
Given numbers are 836,304,253,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,304,253,946 is 3307216.
Find LCM of 836,304,253,946 with Prime Factorization
| 2 | 836, 304, 253, 946 |
| 2 | 418, 152, 253, 473 |
| 11 | 209, 76, 253, 473 |
| 19 | 19, 76, 23, 43 |
| 1, 4, 23, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 1 x 4 x 23 x 43 = 3307216
Therefore, the lowest common multiple of 836,304,253,946 is 3307216.
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.
836 x 304 x 253 x 946 = 60826316672
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
253 : 1, 11, 23, 253
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,304,253,946, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
304:2x 2x 2x 2x 19
253:11x 23
946:2x 11x 43
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 11x 11x 19 = 18392
Therefore, the value for common factors is 18392.
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 = 60826316672/(1x18392)
LCM = 60826316672/18392
LCM = 3307216
Thus, we can understand that the LCM of 836,304,253,946 is 3307216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 836, 304, 253, 946
1. What is the LCM of 836, 304, 253, 946?
Answer: LCM of 836, 304, 253, 946 is 3307216.
2. How to calculate the LCM of 836, 304, 253, 946?
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 836, 304, 253, 946.
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}.