LCM of 627, 386, 351, 772, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 386, 351, 772, 156 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, 386, 351, 772, 156. So, keep reading to learn more.
Given numbers are 627,386,351,772,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,386,351,772,156 is 56633148.
Find LCM of 627,386,351,772,156 with Prime Factorization
| 2 | 627, 386, 351, 772, 156 |
| 2 | 627, 193, 351, 386, 78 |
| 3 | 627, 193, 351, 193, 39 |
| 13 | 209, 193, 117, 193, 13 |
| 193 | 209, 193, 9, 193, 1 |
| 209, 1, 9, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 193 x 209 x 1 x 9 x 1 x 1 = 56633148
Therefore, the lowest common multiple of 627,386,351,772,156 is 56633148.
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 386 x 351 x 772 x 156 = 10230664919904
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
386 : 1, 2, 193, 386
351 : 1, 3, 9, 13, 27, 39, 117, 351
772 : 1, 2, 4, 193, 386, 772
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,386,351,772,156, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
386:2x 193
351:3x 3x 3x 13
772:2x 2x 193
156:2x 2x 3x 13
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 3x 13x 193 = 180648
Therefore, the value for common factors is 180648.
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 = 10230664919904/(1x180648)
LCM = 10230664919904/180648
LCM = 56633148
Thus, we can understand that the LCM of 627,386,351,772,156 is 56633148.
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FAQs on LCM of 627, 386, 351, 772, 156
1. What is the LCM of 627, 386, 351, 772, 156?
Answer: LCM of 627, 386, 351, 772, 156 is 56633148.
2. How to calculate the LCM of 627, 386, 351, 772, 156?
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, 386, 351, 772, 156.
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}.