LCM of 165, 562, 198, 610, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 562, 198, 610, 936 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 165, 562, 198, 610, 936. So, keep reading to learn more.
Given numbers are 165,562,198,610,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,562,198,610,936 is 882418680.
Find LCM of 165,562,198,610,936 with Prime Factorization
| 2 | 165, 562, 198, 610, 936 |
| 3 | 165, 281, 99, 305, 468 |
| 3 | 55, 281, 33, 305, 156 |
| 5 | 55, 281, 11, 305, 52 |
| 11 | 11, 281, 11, 61, 52 |
| 1, 281, 1, 61, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 1 x 281 x 1 x 61 x 52 = 882418680
Therefore, the lowest common multiple of 165,562,198,610,936 is 882418680.
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.
165 x 562 x 198 x 610 x 936 = 10483133918400
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
562 : 1, 2, 281, 562
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
610 : 1, 2, 5, 10, 61, 122, 305, 610
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,562,198,610,936, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
562:2x 281
198:2x 3x 3x 11
610:2x 5x 61
936:2x 2x 2x 3x 3x 13
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 3x 3x 5x 11 = 11880
Therefore, the value for common factors is 11880.
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 = 10483133918400/(1x11880)
LCM = 10483133918400/11880
LCM = 882418680
Thus, we can understand that the LCM of 165,562,198,610,936 is 882418680.
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FAQs on LCM of 165, 562, 198, 610, 936
1. What is the LCM of 165, 562, 198, 610, 936?
Answer: LCM of 165, 562, 198, 610, 936 is 882418680.
2. How to calculate the LCM of 165, 562, 198, 610, 936?
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 165, 562, 198, 610, 936.
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}.