LCM of 612, 533, 832, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 533, 832, 842 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 612, 533, 832, 842. So, keep reading to learn more.
Given numbers are 612,533,832,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,533,832,842 is 2197256256.
Find LCM of 612,533,832,842 with Prime Factorization
| 2 | 612, 533, 832, 842 |
| 2 | 306, 533, 416, 421 |
| 13 | 153, 533, 208, 421 |
| 153, 41, 16, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 153 x 41 x 16 x 421 = 2197256256
Therefore, the lowest common multiple of 612,533,832,842 is 2197256256.
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.
612 x 533 x 832 x 842 = 228514650624
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
533 : 1, 13, 41, 533
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,533,832,842, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
533:13x 41
832:2x 2x 2x 2x 2x 2x 13
842:2x 421
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 13 = 104
Therefore, the value for common factors is 104.
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 = 228514650624/(1x104)
LCM = 228514650624/104
LCM = 2197256256
Thus, we can understand that the LCM of 612,533,832,842 is 2197256256.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 612, 533, 832, 842
1. What is the LCM of 612, 533, 832, 842?
Answer: LCM of 612, 533, 832, 842 is 2197256256.
2. How to calculate the LCM of 612, 533, 832, 842?
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 612, 533, 832, 842.
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}.