LCM of 332, 759, 186, 803, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 759, 186, 803, 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 332, 759, 186, 803, 936. So, keep reading to learn more.
Given numbers are 332,759,186,803,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,759,186,803,936 is 44479409832.
Find LCM of 332,759,186,803,936 with Prime Factorization
| 2 | 332, 759, 186, 803, 936 |
| 2 | 166, 759, 93, 803, 468 |
| 3 | 83, 759, 93, 803, 234 |
| 11 | 83, 253, 31, 803, 78 |
| 83, 23, 31, 73, 78 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 83 x 23 x 31 x 73 x 78 = 44479409832
Therefore, the lowest common multiple of 332,759,186,803,936 is 44479409832.
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.
332 x 759 x 186 x 803 x 936 = 35227692586944
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.
332 : 1, 2, 4, 83, 166, 332
759 : 1, 3, 11, 23, 33, 69, 253, 759
186 : 1, 2, 3, 6, 31, 62, 93, 186
803 : 1, 11, 73, 803
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 332,759,186,803,936, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
759:3x 11x 23
186:2x 3x 31
803:11x 73
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 11 = 792
Therefore, the value for common factors is 792.
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 = 35227692586944/(1x792)
LCM = 35227692586944/792
LCM = 44479409832
Thus, we can understand that the LCM of 332,759,186,803,936 is 44479409832.
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FAQs on LCM of 332, 759, 186, 803, 936
1. What is the LCM of 332, 759, 186, 803, 936?
Answer: LCM of 332, 759, 186, 803, 936 is 44479409832.
2. How to calculate the LCM of 332, 759, 186, 803, 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 332, 759, 186, 803, 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}.