LCM of 627, 156, 412, 117, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 156, 412, 117, 388 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 627, 156, 412, 117, 388. So, keep reading to learn more.
Given numbers are 627,156,412,117,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,156,412,117,388 is 977239692.
Find LCM of 627,156,412,117,388 with Prime Factorization
| 2 | 627, 156, 412, 117, 388 |
| 2 | 627, 78, 206, 117, 194 |
| 3 | 627, 39, 103, 117, 97 |
| 13 | 209, 13, 103, 39, 97 |
| 209, 1, 103, 3, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 209 x 1 x 103 x 3 x 97 = 977239692
Therefore, the lowest common multiple of 627,156,412,117,388 is 977239692.
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.
627 x 156 x 412 x 117 x 388 = 1829392703424
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
412 : 1, 2, 4, 103, 206, 412
117 : 1, 3, 9, 13, 39, 117
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,156,412,117,388, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
156:2x 2x 3x 13
412:2x 2x 103
117:3x 3x 13
388:2x 2x 97
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 13 = 1872
Therefore, the value for common factors is 1872.
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 = 1829392703424/(1x1872)
LCM = 1829392703424/1872
LCM = 977239692
Thus, we can understand that the LCM of 627,156,412,117,388 is 977239692.
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FAQs on LCM of 627, 156, 412, 117, 388
1. What is the LCM of 627, 156, 412, 117, 388?
Answer: LCM of 627, 156, 412, 117, 388 is 977239692.
2. How to calculate the LCM of 627, 156, 412, 117, 388?
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 627, 156, 412, 117, 388.
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}.