LCM of 495, 907, 634, 639, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 907, 634, 639, 176 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 495, 907, 634, 639, 176. So, keep reading to learn more.
Given numbers are 495,907,634,639,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,907,634,639,176 is 161677684080.
Find LCM of 495,907,634,639,176 with Prime Factorization
| 2 | 495, 907, 634, 639, 176 |
| 3 | 495, 907, 317, 639, 88 |
| 3 | 165, 907, 317, 213, 88 |
| 11 | 55, 907, 317, 71, 88 |
| 5, 907, 317, 71, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 5 x 907 x 317 x 71 x 8 = 161677684080
Therefore, the lowest common multiple of 495,907,634,639,176 is 161677684080.
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.
495 x 907 x 634 x 639 x 176 = 32012181447840
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
907 : 1, 907
634 : 1, 2, 317, 634
639 : 1, 3, 9, 71, 213, 639
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,907,634,639,176, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
907:907
634:2x 317
639:3x 3x 71
176:2x 2x 2x 2x 11
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 11 = 198
Therefore, the value for common factors is 198.
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 = 32012181447840/(1x198)
LCM = 32012181447840/198
LCM = 161677684080
Thus, we can understand that the LCM of 495,907,634,639,176 is 161677684080.
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FAQs on LCM of 495, 907, 634, 639, 176
1. What is the LCM of 495, 907, 634, 639, 176?
Answer: LCM of 495, 907, 634, 639, 176 is 161677684080.
2. How to calculate the LCM of 495, 907, 634, 639, 176?
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 495, 907, 634, 639, 176.
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}.