LCM of 368, 496, 120, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 496, 120, 506 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 368, 496, 120, 506. So, keep reading to learn more.
Given numbers are 368,496,120,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,496,120,506 is 1882320.
Find LCM of 368,496,120,506 with Prime Factorization
| 2 | 368, 496, 120, 506 |
| 2 | 184, 248, 60, 253 |
| 2 | 92, 124, 30, 253 |
| 2 | 46, 62, 15, 253 |
| 23 | 23, 31, 15, 253 |
| 1, 31, 15, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 1 x 31 x 15 x 11 = 1882320
Therefore, the lowest common multiple of 368,496,120,506 is 1882320.
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.
368 x 496 x 120 x 506 = 11083100160
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
506 : 1, 2, 11, 22, 23, 46, 253, 506
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,496,120,506, is 2.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
496:2x 2x 2x 2x 31
120:2x 2x 2x 3x 5
506:2x 11x 23
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 2x 2x 2x 2x 2x 23 = 2944
Therefore, the value for common factors is 2944.
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 = 11083100160/(2x2944)
LCM = 11083100160/5888
LCM = 1882320
Thus, we can understand that the LCM of 368,496,120,506 is 1882320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 368, 496, 120, 506
1. What is the LCM of 368, 496, 120, 506?
Answer: LCM of 368, 496, 120, 506 is 1882320.
2. How to calculate the LCM of 368, 496, 120, 506?
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 368, 496, 120, 506.
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}.