LCM of 564, 804, 542, 282, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 804, 542, 282, 333 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 564, 804, 542, 282, 333. So, keep reading to learn more.
Given numbers are 564,804,542,282,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,804,542,282,333 is 1136700828.
Find LCM of 564,804,542,282,333 with Prime Factorization
| 2 | 564, 804, 542, 282, 333 |
| 2 | 282, 402, 271, 141, 333 |
| 3 | 141, 201, 271, 141, 333 |
| 47 | 47, 67, 271, 47, 111 |
| 1, 67, 271, 1, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 1 x 67 x 271 x 1 x 111 = 1136700828
Therefore, the lowest common multiple of 564,804,542,282,333 is 1136700828.
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.
564 x 804 x 542 x 282 x 333 = 23079573611712
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
542 : 1, 2, 271, 542
282 : 1, 2, 3, 6, 47, 94, 141, 282
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,804,542,282,333, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
804:2x 2x 3x 67
542:2x 271
282:2x 3x 47
333:3x 3x 37
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 3x 3x 3x 47 = 20304
Therefore, the value for common factors is 20304.
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 = 23079573611712/(1x20304)
LCM = 23079573611712/20304
LCM = 1136700828
Thus, we can understand that the LCM of 564,804,542,282,333 is 1136700828.
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FAQs on LCM of 564, 804, 542, 282, 333
1. What is the LCM of 564, 804, 542, 282, 333?
Answer: LCM of 564, 804, 542, 282, 333 is 1136700828.
2. How to calculate the LCM of 564, 804, 542, 282, 333?
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 564, 804, 542, 282, 333.
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}.