LCM of 724, 838, 338, 957, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 838, 338, 957, 826 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 724, 838, 338, 957, 826. So, keep reading to learn more.
Given numbers are 724,838,338,957,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,838,338,957,826 is 20262885166524.
Find LCM of 724,838,338,957,826 with Prime Factorization
| 2 | 724, 838, 338, 957, 826 |
| 362, 419, 169, 957, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 362 x 419 x 169 x 957 x 413 = 20262885166524
Therefore, the lowest common multiple of 724,838,338,957,826 is 20262885166524.
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.
724 x 838 x 338 x 957 x 826 = 162103081332192
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.
724 : 1, 2, 4, 181, 362, 724
838 : 1, 2, 419, 838
338 : 1, 2, 13, 26, 169, 338
957 : 1, 3, 11, 29, 33, 87, 319, 957
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,838,338,957,826, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
838:2x 419
338:2x 13x 13
957:3x 11x 29
826:2x 7x 59
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 2 = 8
Therefore, the value for common factors is 8.
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 = 162103081332192/(1x8)
LCM = 162103081332192/8
LCM = 20262885166524
Thus, we can understand that the LCM of 724,838,338,957,826 is 20262885166524.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 724, 838, 338, 957, 826
1. What is the LCM of 724, 838, 338, 957, 826?
Answer: LCM of 724, 838, 338, 957, 826 is 20262885166524.
2. How to calculate the LCM of 724, 838, 338, 957, 826?
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 724, 838, 338, 957, 826.
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}.