LCM of 374, 339, 731, 282, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 339, 731, 282, 813 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 374, 339, 731, 282, 813. So, keep reading to learn more.
Given numbers are 374,339,731,282,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,339,731,282,813 is 69439551126.
Find LCM of 374,339,731,282,813 with Prime Factorization
| 2 | 374, 339, 731, 282, 813 |
| 3 | 187, 339, 731, 141, 813 |
| 17 | 187, 113, 731, 47, 271 |
| 11, 113, 43, 47, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 11 x 113 x 43 x 47 x 271 = 69439551126
Therefore, the lowest common multiple of 374,339,731,282,813 is 69439551126.
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.
374 x 339 x 731 x 282 x 813 = 21248502644556
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
339 : 1, 3, 113, 339
731 : 1, 17, 43, 731
282 : 1, 2, 3, 6, 47, 94, 141, 282
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,339,731,282,813, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
339:3x 113
731:17x 43
282:2x 3x 47
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17 = 306
Therefore, the value for common factors is 306.
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 = 21248502644556/(1x306)
LCM = 21248502644556/306
LCM = 69439551126
Thus, we can understand that the LCM of 374,339,731,282,813 is 69439551126.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 374, 339, 731, 282, 813
1. What is the LCM of 374, 339, 731, 282, 813?
Answer: LCM of 374, 339, 731, 282, 813 is 69439551126.
2. How to calculate the LCM of 374, 339, 731, 282, 813?
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 374, 339, 731, 282, 813.
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}.