LCM of 567, 882, 332, 747, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 882, 332, 747, 639 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 567, 882, 332, 747, 639. So, keep reading to learn more.
Given numbers are 567,882,332,747,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,882,332,747,639 is 93557268.
Find LCM of 567,882,332,747,639 with Prime Factorization
| 2 | 567, 882, 332, 747, 639 |
| 3 | 567, 441, 166, 747, 639 |
| 3 | 189, 147, 166, 249, 213 |
| 7 | 63, 49, 166, 83, 71 |
| 83 | 9, 7, 166, 83, 71 |
| 9, 7, 2, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 83 x 9 x 7 x 2 x 1 x 71 = 93557268
Therefore, the lowest common multiple of 567,882,332,747,639 is 93557268.
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.
567 x 882 x 332 x 747 x 639 = 79252174608264
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
332 : 1, 2, 4, 83, 166, 332
747 : 1, 3, 9, 83, 249, 747
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,882,332,747,639, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
882:2x 3x 3x 7x 7
332:2x 2x 83
747:3x 3x 83
639:3x 3x 71
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 3x 3x 3x 3x 7x 83 = 847098
Therefore, the value for common factors is 847098.
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 = 79252174608264/(1x847098)
LCM = 79252174608264/847098
LCM = 93557268
Thus, we can understand that the LCM of 567,882,332,747,639 is 93557268.
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FAQs on LCM of 567, 882, 332, 747, 639
1. What is the LCM of 567, 882, 332, 747, 639?
Answer: LCM of 567, 882, 332, 747, 639 is 93557268.
2. How to calculate the LCM of 567, 882, 332, 747, 639?
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 567, 882, 332, 747, 639.
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}.