LCM of 954, 407, 962, 208, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 407, 962, 208, 916 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, 407, 962, 208, 916. So, keep reading to learn more.
Given numbers are 954,407,962,208,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,407,962,208,916 is 9247228848.
Find LCM of 954,407,962,208,916 with Prime Factorization
| 2 | 954, 407, 962, 208, 916 |
| 2 | 477, 407, 481, 104, 458 |
| 13 | 477, 407, 481, 52, 229 |
| 37 | 477, 407, 37, 4, 229 |
| 477, 11, 1, 4, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 37 x 477 x 11 x 1 x 4 x 229 = 9247228848
Therefore, the lowest common multiple of 954,407,962,208,916 is 9247228848.
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 407 x 962 x 208 x 916 = 71166673214208
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
407 : 1, 11, 37, 407
962 : 1, 2, 13, 26, 37, 74, 481, 962
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,407,962,208,916, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
407:11x 37
962:2x 13x 37
208:2x 2x 2x 2x 13
916:2x 2x 229
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 2x 13x 37 = 7696
Therefore, the value for common factors is 7696.
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 = 71166673214208/(1x7696)
LCM = 71166673214208/7696
LCM = 9247228848
Thus, we can understand that the LCM of 954,407,962,208,916 is 9247228848.
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FAQs on LCM of 954, 407, 962, 208, 916
1. What is the LCM of 954, 407, 962, 208, 916?
Answer: LCM of 954, 407, 962, 208, 916 is 9247228848.
2. How to calculate the LCM of 954, 407, 962, 208, 916?
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, 407, 962, 208, 916.
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}.