LCM of 916, 102, 559, 702, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 102, 559, 702, 544 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 916, 102, 559, 702, 544. So, keep reading to learn more.
Given numbers are 916,102,559,702,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,102,559,702,544 is 1880225568.
Find LCM of 916,102,559,702,544 with Prime Factorization
| 2 | 916, 102, 559, 702, 544 |
| 2 | 458, 51, 559, 351, 272 |
| 3 | 229, 51, 559, 351, 136 |
| 13 | 229, 17, 559, 117, 136 |
| 17 | 229, 17, 43, 9, 136 |
| 229, 1, 43, 9, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 229 x 1 x 43 x 9 x 8 = 1880225568
Therefore, the lowest common multiple of 916,102,559,702,544 is 1880225568.
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.
916 x 102 x 559 x 702 x 544 = 19945432825344
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.
916 : 1, 2, 4, 229, 458, 916
102 : 1, 2, 3, 6, 17, 34, 51, 102
559 : 1, 13, 43, 559
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,102,559,702,544, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
102:2x 3x 17
559:13x 43
702:2x 3x 3x 3x 13
544:2x 2x 2x 2x 2x 17
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 3x 13x 17 = 10608
Therefore, the value for common factors is 10608.
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 = 19945432825344/(1x10608)
LCM = 19945432825344/10608
LCM = 1880225568
Thus, we can understand that the LCM of 916,102,559,702,544 is 1880225568.
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FAQs on LCM of 916, 102, 559, 702, 544
1. What is the LCM of 916, 102, 559, 702, 544?
Answer: LCM of 916, 102, 559, 702, 544 is 1880225568.
2. How to calculate the LCM of 916, 102, 559, 702, 544?
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 916, 102, 559, 702, 544.
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}.