LCM of 336, 495, 889, 973, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 495, 889, 973, 102 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 336, 495, 889, 973, 102. So, keep reading to learn more.
Given numbers are 336,495,889,973,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,495,889,973,102 is 16637599440.
Find LCM of 336,495,889,973,102 with Prime Factorization
| 2 | 336, 495, 889, 973, 102 |
| 3 | 168, 495, 889, 973, 51 |
| 7 | 56, 165, 889, 973, 17 |
| 8, 165, 127, 139, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 8 x 165 x 127 x 139 x 17 = 16637599440
Therefore, the lowest common multiple of 336,495,889,973,102 is 16637599440.
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.
336 x 495 x 889 x 973 x 102 = 14674362706080
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
889 : 1, 7, 127, 889
973 : 1, 7, 139, 973
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,495,889,973,102, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
495:3x 3x 5x 11
889:7x 127
973:7x 139
102:2x 3x 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 3x 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 14674362706080/(1x882)
LCM = 14674362706080/882
LCM = 16637599440
Thus, we can understand that the LCM of 336,495,889,973,102 is 16637599440.
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FAQs on LCM of 336, 495, 889, 973, 102
1. What is the LCM of 336, 495, 889, 973, 102?
Answer: LCM of 336, 495, 889, 973, 102 is 16637599440.
2. How to calculate the LCM of 336, 495, 889, 973, 102?
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 336, 495, 889, 973, 102.
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}.