LCM of 167, 644, 308, 321, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 644, 308, 321, 528 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 167, 644, 308, 321, 528. So, keep reading to learn more.
Given numbers are 167,644,308,321,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,644,308,321,528 is 1519007952.
Find LCM of 167,644,308,321,528 with Prime Factorization
| 2 | 167, 644, 308, 321, 528 |
| 2 | 167, 322, 154, 321, 264 |
| 3 | 167, 161, 77, 321, 132 |
| 7 | 167, 161, 77, 107, 44 |
| 11 | 167, 23, 11, 107, 44 |
| 167, 23, 1, 107, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 167 x 23 x 1 x 107 x 4 = 1519007952
Therefore, the lowest common multiple of 167,644,308,321,528 is 1519007952.
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.
167 x 644 x 308 x 321 x 528 = 5614253390592
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.
167 : 1, 167
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
321 : 1, 3, 107, 321
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,644,308,321,528, is 1.
Now, the common factors can be found like this.
167:167
644:2x 2x 7x 23
308:2x 2x 7x 11
321:3x 107
528:2x 2x 2x 2x 3x 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 2x 2x 2x 3x 7x 11 = 3696
Therefore, the value for common factors is 3696.
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 = 5614253390592/(1x3696)
LCM = 5614253390592/3696
LCM = 1519007952
Thus, we can understand that the LCM of 167,644,308,321,528 is 1519007952.
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FAQs on LCM of 167, 644, 308, 321, 528
1. What is the LCM of 167, 644, 308, 321, 528?
Answer: LCM of 167, 644, 308, 321, 528 is 1519007952.
2. How to calculate the LCM of 167, 644, 308, 321, 528?
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 167, 644, 308, 321, 528.
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}.