LCM of 573, 345, 989, 285, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 345, 989, 285, 382 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 573, 345, 989, 285, 382. So, keep reading to learn more.
Given numbers are 573,345,989,285,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,345,989,285,382 is 107672430.
Find LCM of 573,345,989,285,382 with Prime Factorization
| 3 | 573, 345, 989, 285, 382 |
| 5 | 191, 115, 989, 95, 382 |
| 23 | 191, 23, 989, 19, 382 |
| 191 | 191, 1, 43, 19, 382 |
| 1, 1, 43, 19, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 191 x 1 x 1 x 43 x 19 x 2 = 107672430
Therefore, the lowest common multiple of 573,345,989,285,382 is 107672430.
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.
573 x 345 x 989 x 285 x 382 = 21285224324550
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.
573 : 1, 3, 191, 573
345 : 1, 3, 5, 15, 23, 69, 115, 345
989 : 1, 23, 43, 989
285 : 1, 3, 5, 15, 19, 57, 95, 285
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,345,989,285,382, is 1.
Now, the common factors can be found like this.
573:3x 191
345:3x 5x 23
989:23x 43
285:3x 5x 19
382:2x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 23x 191 = 197685
Therefore, the value for common factors is 197685.
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 = 21285224324550/(1x197685)
LCM = 21285224324550/197685
LCM = 107672430
Thus, we can understand that the LCM of 573,345,989,285,382 is 107672430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 573, 345, 989, 285, 382
1. What is the LCM of 573, 345, 989, 285, 382?
Answer: LCM of 573, 345, 989, 285, 382 is 107672430.
2. How to calculate the LCM of 573, 345, 989, 285, 382?
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 573, 345, 989, 285, 382.
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}.