LCM of 627, 399, 478, 274, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 399, 478, 274, 462 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, 399, 478, 274, 462. So, keep reading to learn more.
Given numbers are 627,399,478,274,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,399,478,274,462 is 287418054.
Find LCM of 627,399,478,274,462 with Prime Factorization
| 2 | 627, 399, 478, 274, 462 |
| 3 | 627, 399, 239, 137, 231 |
| 7 | 209, 133, 239, 137, 77 |
| 11 | 209, 19, 239, 137, 11 |
| 19 | 19, 19, 239, 137, 1 |
| 1, 1, 239, 137, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 19 x 1 x 1 x 239 x 137 x 1 = 287418054
Therefore, the lowest common multiple of 627,399,478,274,462 is 287418054.
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 399 x 478 x 274 x 462 = 15137734068072
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
399 : 1, 3, 7, 19, 21, 57, 133, 399
478 : 1, 2, 239, 478
274 : 1, 2, 137, 274
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,399,478,274,462, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
399:3x 7x 19
478:2x 239
274:2x 137
462:2x 3x 7x 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 3x 3x 7x 11x 19 = 52668
Therefore, the value for common factors is 52668.
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 = 15137734068072/(1x52668)
LCM = 15137734068072/52668
LCM = 287418054
Thus, we can understand that the LCM of 627,399,478,274,462 is 287418054.
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FAQs on LCM of 627, 399, 478, 274, 462
1. What is the LCM of 627, 399, 478, 274, 462?
Answer: LCM of 627, 399, 478, 274, 462 is 287418054.
2. How to calculate the LCM of 627, 399, 478, 274, 462?
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, 399, 478, 274, 462.
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}.