LCM of 132, 207, 563, 638, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 207, 563, 638, 692 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 132, 207, 563, 638, 692. So, keep reading to learn more.
Given numbers are 132,207,563,638,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,207,563,638,692 is 25726192668.
Find LCM of 132,207,563,638,692 with Prime Factorization
| 2 | 132, 207, 563, 638, 692 |
| 2 | 66, 207, 563, 319, 346 |
| 3 | 33, 207, 563, 319, 173 |
| 11 | 11, 69, 563, 319, 173 |
| 1, 69, 563, 29, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 1 x 69 x 563 x 29 x 173 = 25726192668
Therefore, the lowest common multiple of 132,207,563,638,692 is 25726192668.
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.
132 x 207 x 563 x 638 x 692 = 6791714864352
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.
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
207 : 1, 3, 9, 23, 69, 207
563 : 1, 563
638 : 1, 2, 11, 22, 29, 58, 319, 638
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,207,563,638,692, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
207:3x 3x 23
563:563
638:2x 11x 29
692:2x 2x 173
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 11 = 264
Therefore, the value for common factors is 264.
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 = 6791714864352/(1x264)
LCM = 6791714864352/264
LCM = 25726192668
Thus, we can understand that the LCM of 132,207,563,638,692 is 25726192668.
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FAQs on LCM of 132, 207, 563, 638, 692
1. What is the LCM of 132, 207, 563, 638, 692?
Answer: LCM of 132, 207, 563, 638, 692 is 25726192668.
2. How to calculate the LCM of 132, 207, 563, 638, 692?
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 132, 207, 563, 638, 692.
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}.