LCM of 914, 746, 773, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 746, 773, 574 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 914, 746, 773, 574. So, keep reading to learn more.
Given numbers are 914,746,773,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,746,773,574 is 75633886622.
Find LCM of 914,746,773,574 with Prime Factorization
| 2 | 914, 746, 773, 574 |
| 457, 373, 773, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 457 x 373 x 773 x 287 = 75633886622
Therefore, the lowest common multiple of 914,746,773,574 is 75633886622.
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.
914 x 746 x 773 x 574 = 302535546488
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.
914 : 1, 2, 457, 914
746 : 1, 2, 373, 746
773 : 1, 773
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,746,773,574, is 1.
Now, the common factors can be found like this.
914:2x 457
746:2x 373
773:773
574:2x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 302535546488/(1x4)
LCM = 302535546488/4
LCM = 75633886622
Thus, we can understand that the LCM of 914,746,773,574 is 75633886622.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 746, 773, 574
1. What is the LCM of 914, 746, 773, 574?
Answer: LCM of 914, 746, 773, 574 is 75633886622.
2. How to calculate the LCM of 914, 746, 773, 574?
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 914, 746, 773, 574.
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}.