LCM of 954, 209, 962, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 209, 962, 349 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 954, 209, 962, 349. So, keep reading to learn more.
Given numbers are 954,209,962,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,209,962,349 is 33470728434.
Find LCM of 954,209,962,349 with Prime Factorization
| 2 | 954, 209, 962, 349 |
| 477, 209, 481, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 477 x 209 x 481 x 349 = 33470728434
Therefore, the lowest common multiple of 954,209,962,349 is 33470728434.
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.
954 x 209 x 962 x 349 = 66941456868
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
209 : 1, 11, 19, 209
962 : 1, 2, 13, 26, 37, 74, 481, 962
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,209,962,349, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
209:11x 19
962:2x 13x 37
349:349
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 66941456868/(1x2)
LCM = 66941456868/2
LCM = 33470728434
Thus, we can understand that the LCM of 954,209,962,349 is 33470728434.
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FAQs on LCM of 954, 209, 962, 349
1. What is the LCM of 954, 209, 962, 349?
Answer: LCM of 954, 209, 962, 349 is 33470728434.
2. How to calculate the LCM of 954, 209, 962, 349?
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 954, 209, 962, 349.
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}.