LCM of 677, 140, 893, 627, 461
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 140, 893, 627, 461 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 677, 140, 893, 627, 461. So, keep reading to learn more.
Given numbers are 677,140,893,627,461
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,140,893,627,461 is 1287606109020.
Find LCM of 677,140,893,627,461 with Prime Factorization
| 19 | 677, 140, 893, 627, 461 |
| 677, 140, 47, 33, 461 |
Multiply the prime numbers at the bottom and the left side.
19 x 677 x 140 x 47 x 33 x 461 = 1287606109020
Therefore, the lowest common multiple of 677,140,893,627,461 is 1287606109020.
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.
677 x 140 x 893 x 627 x 461 = 24464516071380
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.
677 : 1, 677
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
893 : 1, 19, 47, 893
627 : 1, 3, 11, 19, 33, 57, 209, 627
461 : 1, 461
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,140,893,627,461, is 1.
Now, the common factors can be found like this.
677:677
140:2x 2x 5x 7
893:19x 47
627:3x 11x 19
461:461
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 24464516071380/(1x19)
LCM = 24464516071380/19
LCM = 1287606109020
Thus, we can understand that the LCM of 677,140,893,627,461 is 1287606109020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 677, 140, 893, 627, 461
1. What is the LCM of 677, 140, 893, 627, 461?
Answer: LCM of 677, 140, 893, 627, 461 is 1287606109020.
2. How to calculate the LCM of 677, 140, 893, 627, 461?
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 677, 140, 893, 627, 461.
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}.