LCM of 368, 920, 170, 471, 883
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 920, 170, 471, 883 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, 920, 170, 471, 883. So, keep reading to learn more.
Given numbers are 368,920,170,471,883
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,920,170,471,883 is 13009133040.
Find LCM of 368,920,170,471,883 with Prime Factorization
| 2 | 368, 920, 170, 471, 883 |
| 2 | 184, 460, 85, 471, 883 |
| 2 | 92, 230, 85, 471, 883 |
| 5 | 46, 115, 85, 471, 883 |
| 23 | 46, 23, 17, 471, 883 |
| 2, 1, 17, 471, 883 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 23 x 2 x 1 x 17 x 471 x 883 = 13009133040
Therefore, the lowest common multiple of 368,920,170,471,883 is 13009133040.
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 920 x 170 x 471 x 883 = 23936804793600
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
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
170 : 1, 2, 5, 10, 17, 34, 85, 170
471 : 1, 3, 157, 471
883 : 1, 883
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,920,170,471,883, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
920:2x 2x 2x 5x 23
170:2x 5x 17
471:3x 157
883:883
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 5x 23 = 1840
Therefore, the value for common factors is 1840.
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 = 23936804793600/(1x1840)
LCM = 23936804793600/1840
LCM = 13009133040
Thus, we can understand that the LCM of 368,920,170,471,883 is 13009133040.
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FAQs on LCM of 368, 920, 170, 471, 883
1. What is the LCM of 368, 920, 170, 471, 883?
Answer: LCM of 368, 920, 170, 471, 883 is 13009133040.
2. How to calculate the LCM of 368, 920, 170, 471, 883?
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, 920, 170, 471, 883.
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}.