LCM of 955, 836, 418, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 955, 836, 418, 548 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 955, 836, 418, 548. So, keep reading to learn more.
Given numbers are 955,836,418,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,836,418,548 is 109378060.
Find LCM of 955,836,418,548 with Prime Factorization
| 2 | 955, 836, 418, 548 |
| 2 | 955, 418, 209, 274 |
| 11 | 955, 209, 209, 137 |
| 19 | 955, 19, 19, 137 |
| 955, 1, 1, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 955 x 1 x 1 x 137 = 109378060
Therefore, the lowest common multiple of 955,836,418,548 is 109378060.
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.
955 x 836 x 418 x 548 = 182880116320
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.
955 : 1, 5, 191, 955
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
418 : 1, 2, 11, 19, 22, 38, 209, 418
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,836,418,548, is 1.
Now, the common factors can be found like this.
955:5x 191
836:2x 2x 11x 19
418:2x 11x 19
548:2x 2x 137
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 19 = 1672
Therefore, the value for common factors is 1672.
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 = 182880116320/(1x1672)
LCM = 182880116320/1672
LCM = 109378060
Thus, we can understand that the LCM of 955,836,418,548 is 109378060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 955, 836, 418, 548
1. What is the LCM of 955, 836, 418, 548?
Answer: LCM of 955, 836, 418, 548 is 109378060.
2. How to calculate the LCM of 955, 836, 418, 548?
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 955, 836, 418, 548.
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}.