LCM of 544, 272, 936, 906, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 272, 936, 906, 971 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 544, 272, 936, 906, 971. So, keep reading to learn more.
Given numbers are 544,272,936,906,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,272,936,906,971 is 9332133408.
Find LCM of 544,272,936,906,971 with Prime Factorization
| 2 | 544, 272, 936, 906, 971 |
| 2 | 272, 136, 468, 453, 971 |
| 2 | 68, 136, 234, 453, 971 |
| 2 | 34, 68, 117, 453, 971 |
| 3 | 17, 34, 117, 453, 971 |
| 17 | 17, 34, 39, 151, 971 |
| 1, 2, 39, 151, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 1 x 2 x 39 x 151 x 971 = 9332133408
Therefore, the lowest common multiple of 544,272,936,906,971 is 9332133408.
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.
544 x 272 x 936 x 906 x 971 = 121840333774848
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
906 : 1, 2, 3, 6, 151, 302, 453, 906
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,272,936,906,971, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
272:2x 2x 2x 2x 17
936:2x 2x 2x 3x 3x 13
906:2x 3x 151
971:971
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 2x 2x 2x 2x 3x 17 = 13056
Therefore, the value for common factors is 13056.
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 = 121840333774848/(1x13056)
LCM = 121840333774848/13056
LCM = 9332133408
Thus, we can understand that the LCM of 544,272,936,906,971 is 9332133408.
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FAQs on LCM of 544, 272, 936, 906, 971
1. What is the LCM of 544, 272, 936, 906, 971?
Answer: LCM of 544, 272, 936, 906, 971 is 9332133408.
2. How to calculate the LCM of 544, 272, 936, 906, 971?
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 544, 272, 936, 906, 971.
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}.