LCM of 874, 477, 742, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 477, 742, 677 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 874, 477, 742, 677. So, keep reading to learn more.
Given numbers are 874,477,742,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,477,742,677 is 1975679622.
Find LCM of 874,477,742,677 with Prime Factorization
| 2 | 874, 477, 742, 677 |
| 53 | 437, 477, 371, 677 |
| 437, 9, 7, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 437 x 9 x 7 x 677 = 1975679622
Therefore, the lowest common multiple of 874,477,742,677 is 1975679622.
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.
874 x 477 x 742 x 677 = 209422039932
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
477 : 1, 3, 9, 53, 159, 477
742 : 1, 2, 7, 14, 53, 106, 371, 742
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,477,742,677, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
477:3x 3x 53
742:2x 7x 53
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 53 = 106
Therefore, the value for common factors is 106.
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 = 209422039932/(1x106)
LCM = 209422039932/106
LCM = 1975679622
Thus, we can understand that the LCM of 874,477,742,677 is 1975679622.
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FAQs on LCM of 874, 477, 742, 677
1. What is the LCM of 874, 477, 742, 677?
Answer: LCM of 874, 477, 742, 677 is 1975679622.
2. How to calculate the LCM of 874, 477, 742, 677?
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 874, 477, 742, 677.
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}.