LCM of 160, 338, 456, 524, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 160, 338, 456, 524, 744 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 160, 338, 456, 524, 744. So, keep reading to learn more.
Given numbers are 160,338,456,524,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,338,456,524,744 is 6259138080.
Find LCM of 160,338,456,524,744 with Prime Factorization
| 2 | 160, 338, 456, 524, 744 |
| 2 | 80, 169, 228, 262, 372 |
| 2 | 40, 169, 114, 131, 186 |
| 3 | 20, 169, 57, 131, 93 |
| 20, 169, 19, 131, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 20 x 169 x 19 x 131 x 31 = 6259138080
Therefore, the lowest common multiple of 160,338,456,524,744 is 6259138080.
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.
160 x 338 x 456 x 524 x 744 = 9614036090880
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
338 : 1, 2, 13, 26, 169, 338
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
524 : 1, 2, 4, 131, 262, 524
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,338,456,524,744, is 2.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
338:2x 13x 13
456:2x 2x 2x 3x 19
524:2x 2x 131
744:2x 2x 2x 3x 31
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 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 9614036090880/(2x768)
LCM = 9614036090880/1536
LCM = 6259138080
Thus, we can understand that the LCM of 160,338,456,524,744 is 6259138080.
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FAQs on LCM of 160, 338, 456, 524, 744
1. What is the LCM of 160, 338, 456, 524, 744?
Answer: LCM of 160, 338, 456, 524, 744 is 6259138080.
2. How to calculate the LCM of 160, 338, 456, 524, 744?
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 160, 338, 456, 524, 744.
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}.