LCM of 338, 874, 821, 957, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 874, 821, 957, 506 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, 874, 821, 957, 506. So, keep reading to learn more.
Given numbers are 338,874,821,957,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,874,821,957,506 is 116052161082.
Find LCM of 338,874,821,957,506 with Prime Factorization
| 2 | 338, 874, 821, 957, 506 |
| 11 | 169, 437, 821, 957, 253 |
| 23 | 169, 437, 821, 87, 23 |
| 169, 19, 821, 87, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 169 x 19 x 821 x 87 x 1 = 116052161082
Therefore, the lowest common multiple of 338,874,821,957,506 is 116052161082.
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 874 x 821 x 957 x 506 = 117444787014984
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
874 : 1, 2, 19, 23, 38, 46, 437, 874
821 : 1, 821
957 : 1, 3, 11, 29, 33, 87, 319, 957
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,874,821,957,506, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
874:2x 19x 23
821:821
957:3x 11x 29
506:2x 11x 23
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 11x 23 = 1012
Therefore, the value for common factors is 1012.
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 = 117444787014984/(1x1012)
LCM = 117444787014984/1012
LCM = 116052161082
Thus, we can understand that the LCM of 338,874,821,957,506 is 116052161082.
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FAQs on LCM of 338, 874, 821, 957, 506
1. What is the LCM of 338, 874, 821, 957, 506?
Answer: LCM of 338, 874, 821, 957, 506 is 116052161082.
2. How to calculate the LCM of 338, 874, 821, 957, 506?
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, 874, 821, 957, 506.
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}.