LCM of 338, 486, 824, 874, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 486, 824, 874, 628 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 338, 486, 824, 874, 628. So, keep reading to learn more.
Given numbers are 338,486,824,874,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,486,824,874,628 is 2321674221672.
Find LCM of 338,486,824,874,628 with Prime Factorization
| 2 | 338, 486, 824, 874, 628 |
| 2 | 169, 243, 412, 437, 314 |
| 169, 243, 206, 437, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 169 x 243 x 206 x 437 x 157 = 2321674221672
Therefore, the lowest common multiple of 338,486,824,874,628 is 2321674221672.
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.
338 x 486 x 824 x 874 x 628 = 74293575093504
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.
338 : 1, 2, 13, 26, 169, 338
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
824 : 1, 2, 4, 8, 103, 206, 412, 824
874 : 1, 2, 19, 23, 38, 46, 437, 874
628 : 1, 2, 4, 157, 314, 628
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,486,824,874,628, is 2.
Now, the common factors can be found like this.
338:2x 13x 13
486:2x 3x 3x 3x 3x 3
824:2x 2x 2x 103
874:2x 19x 23
628:2x 2x 157
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 2 = 16
Therefore, the value for common factors is 16.
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 = 74293575093504/(2x16)
LCM = 74293575093504/32
LCM = 2321674221672
Thus, we can understand that the LCM of 338,486,824,874,628 is 2321674221672.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 338, 486, 824, 874, 628
1. What is the LCM of 338, 486, 824, 874, 628?
Answer: LCM of 338, 486, 824, 874, 628 is 2321674221672.
2. How to calculate the LCM of 338, 486, 824, 874, 628?
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 338, 486, 824, 874, 628.
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}.