LCM of 731, 954, 968, 874, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 954, 968, 874, 297 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 731, 954, 968, 874, 297. So, keep reading to learn more.
Given numbers are 731,954,968,874,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,954,968,874,297 is 442500539976.
Find LCM of 731,954,968,874,297 with Prime Factorization
| 2 | 731, 954, 968, 874, 297 |
| 3 | 731, 477, 484, 437, 297 |
| 3 | 731, 159, 484, 437, 99 |
| 11 | 731, 53, 484, 437, 33 |
| 731, 53, 44, 437, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 731 x 53 x 44 x 437 x 3 = 442500539976
Therefore, the lowest common multiple of 731,954,968,874,297 is 442500539976.
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.
731 x 954 x 968 x 874 x 297 = 175230213830496
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.
731 : 1, 17, 43, 731
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
874 : 1, 2, 19, 23, 38, 46, 437, 874
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,954,968,874,297, is 1.
Now, the common factors can be found like this.
731:17x 43
954:2x 3x 3x 53
968:2x 2x 2x 11x 11
874:2x 19x 23
297:3x 3x 3x 11
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 175230213830496/(1x396)
LCM = 175230213830496/396
LCM = 442500539976
Thus, we can understand that the LCM of 731,954,968,874,297 is 442500539976.
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FAQs on LCM of 731, 954, 968, 874, 297
1. What is the LCM of 731, 954, 968, 874, 297?
Answer: LCM of 731, 954, 968, 874, 297 is 442500539976.
2. How to calculate the LCM of 731, 954, 968, 874, 297?
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 731, 954, 968, 874, 297.
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}.