LCM of 418, 752, 994, 561, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 752, 994, 561, 906 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 418, 752, 994, 561, 906. So, keep reading to learn more.
Given numbers are 418,752,994,561,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,752,994,561,906 is 601544331696.
Find LCM of 418,752,994,561,906 with Prime Factorization
| 2 | 418, 752, 994, 561, 906 |
| 3 | 209, 376, 497, 561, 453 |
| 11 | 209, 376, 497, 187, 151 |
| 19, 376, 497, 17, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 376 x 497 x 17 x 151 = 601544331696
Therefore, the lowest common multiple of 418,752,994,561,906 is 601544331696.
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.
418 x 752 x 994 x 561 x 906 = 158807703567744
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
994 : 1, 2, 7, 14, 71, 142, 497, 994
561 : 1, 3, 11, 17, 33, 51, 187, 561
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,752,994,561,906, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
752:2x 2x 2x 2x 47
994:2x 7x 71
561:3x 11x 17
906:2x 3x 151
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 158807703567744/(1x264)
LCM = 158807703567744/264
LCM = 601544331696
Thus, we can understand that the LCM of 418,752,994,561,906 is 601544331696.
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FAQs on LCM of 418, 752, 994, 561, 906
1. What is the LCM of 418, 752, 994, 561, 906?
Answer: LCM of 418, 752, 994, 561, 906 is 601544331696.
2. How to calculate the LCM of 418, 752, 994, 561, 906?
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 418, 752, 994, 561, 906.
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}.