LCM of 661, 845, 416, 938, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 845, 416, 938, 854 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 661, 845, 416, 938, 854. So, keep reading to learn more.
Given numbers are 661,845,416,938,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,845,416,938,854 is 511341244960.
Find LCM of 661,845,416,938,854 with Prime Factorization
| 2 | 661, 845, 416, 938, 854 |
| 7 | 661, 845, 208, 469, 427 |
| 13 | 661, 845, 208, 67, 61 |
| 661, 65, 16, 67, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 661 x 65 x 16 x 67 x 61 = 511341244960
Therefore, the lowest common multiple of 661,845,416,938,854 is 511341244960.
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.
661 x 845 x 416 x 938 x 854 = 186128213165440
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.
661 : 1, 661
845 : 1, 5, 13, 65, 169, 845
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
938 : 1, 2, 7, 14, 67, 134, 469, 938
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,845,416,938,854, is 1.
Now, the common factors can be found like this.
661:661
845:5x 13x 13
416:2x 2x 2x 2x 2x 13
938:2x 7x 67
854:2x 7x 61
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 7x 13 = 364
Therefore, the value for common factors is 364.
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 = 186128213165440/(1x364)
LCM = 186128213165440/364
LCM = 511341244960
Thus, we can understand that the LCM of 661,845,416,938,854 is 511341244960.
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FAQs on LCM of 661, 845, 416, 938, 854
1. What is the LCM of 661, 845, 416, 938, 854?
Answer: LCM of 661, 845, 416, 938, 854 is 511341244960.
2. How to calculate the LCM of 661, 845, 416, 938, 854?
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 661, 845, 416, 938, 854.
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}.