LCM of 746, 879, 506, 105, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 879, 506, 105, 415 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 746, 879, 506, 105, 415. So, keep reading to learn more.
Given numbers are 746,879,506,105,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,879,506,105,415 is 481941539310.
Find LCM of 746,879,506,105,415 with Prime Factorization
| 2 | 746, 879, 506, 105, 415 |
| 3 | 373, 879, 253, 105, 415 |
| 5 | 373, 293, 253, 35, 415 |
| 373, 293, 253, 7, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 373 x 293 x 253 x 7 x 83 = 481941539310
Therefore, the lowest common multiple of 746,879,506,105,415 is 481941539310.
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.
746 x 879 x 506 x 105 x 415 = 14458246179300
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.
746 : 1, 2, 373, 746
879 : 1, 3, 293, 879
506 : 1, 2, 11, 22, 23, 46, 253, 506
105 : 1, 3, 5, 7, 15, 21, 35, 105
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,879,506,105,415, is 1.
Now, the common factors can be found like this.
746:2x 373
879:3x 293
506:2x 11x 23
105:3x 5x 7
415:5x 83
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 5 = 30
Therefore, the value for common factors is 30.
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 = 14458246179300/(1x30)
LCM = 14458246179300/30
LCM = 481941539310
Thus, we can understand that the LCM of 746,879,506,105,415 is 481941539310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 879, 506, 105, 415
1. What is the LCM of 746, 879, 506, 105, 415?
Answer: LCM of 746, 879, 506, 105, 415 is 481941539310.
2. How to calculate the LCM of 746, 879, 506, 105, 415?
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 746, 879, 506, 105, 415.
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}.