LCM of 332, 254, 824, 762, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 254, 824, 762, 832 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, 254, 824, 762, 832. So, keep reading to learn more.
Given numbers are 332,254,824,762,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,254,824,762,832 is 2709964608.
Find LCM of 332,254,824,762,832 with Prime Factorization
| 2 | 332, 254, 824, 762, 832 |
| 2 | 166, 127, 412, 381, 416 |
| 2 | 83, 127, 206, 381, 208 |
| 127 | 83, 127, 103, 381, 104 |
| 83, 1, 103, 3, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 127 x 83 x 1 x 103 x 3 x 104 = 2709964608
Therefore, the lowest common multiple of 332,254,824,762,832 is 2709964608.
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 254 x 824 x 762 x 832 = 44053184667648
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
254 : 1, 2, 127, 254
824 : 1, 2, 4, 8, 103, 206, 412, 824
762 : 1, 2, 3, 6, 127, 254, 381, 762
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,254,824,762,832, is 2.
Now, the common factors can be found like this.
332:2x 2x 83
254:2x 127
824:2x 2x 2x 103
762:2x 3x 127
832:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 127 = 8128
Therefore, the value for common factors is 8128.
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 = 44053184667648/(2x8128)
LCM = 44053184667648/16256
LCM = 2709964608
Thus, we can understand that the LCM of 332,254,824,762,832 is 2709964608.
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FAQs on LCM of 332, 254, 824, 762, 832
1. What is the LCM of 332, 254, 824, 762, 832?
Answer: LCM of 332, 254, 824, 762, 832 is 2709964608.
2. How to calculate the LCM of 332, 254, 824, 762, 832?
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, 254, 824, 762, 832.
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}.