LCM of 583, 901, 341, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 901, 341, 974 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 583, 901, 341, 974. So, keep reading to learn more.
Given numbers are 583,901,341,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,901,341,974 is 299252734.
Find LCM of 583,901,341,974 with Prime Factorization
| 11 | 583, 901, 341, 974 |
| 53 | 53, 901, 31, 974 |
| 1, 17, 31, 974 |
Multiply the prime numbers at the bottom and the left side.
11 x 53 x 1 x 17 x 31 x 974 = 299252734
Therefore, the lowest common multiple of 583,901,341,974 is 299252734.
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.
583 x 901 x 341 x 974 = 174464343922
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.
583 : 1, 11, 53, 583
901 : 1, 17, 53, 901
341 : 1, 11, 31, 341
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,901,341,974, is 1.
Now, the common factors can be found like this.
583:11x 53
901:17x 53
341:11x 31
974:2x 487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 53 = 583
Therefore, the value for common factors is 583.
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 = 174464343922/(1x583)
LCM = 174464343922/583
LCM = 299252734
Thus, we can understand that the LCM of 583,901,341,974 is 299252734.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 583, 901, 341, 974
1. What is the LCM of 583, 901, 341, 974?
Answer: LCM of 583, 901, 341, 974 is 299252734.
2. How to calculate the LCM of 583, 901, 341, 974?
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 583, 901, 341, 974.
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}.