LCM of 845, 533, 220, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 533, 220, 385 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 845, 533, 220, 385. So, keep reading to learn more.
Given numbers are 845,533,220,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,533,220,385 is 10670660.
Find LCM of 845,533,220,385 with Prime Factorization
| 5 | 845, 533, 220, 385 |
| 11 | 169, 533, 44, 77 |
| 13 | 169, 533, 4, 7 |
| 13, 41, 4, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 13 x 13 x 41 x 4 x 7 = 10670660
Therefore, the lowest common multiple of 845,533,220,385 is 10670660.
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.
845 x 533 x 220 x 385 = 38147609500
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.
845 : 1, 5, 13, 65, 169, 845
533 : 1, 13, 41, 533
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,533,220,385, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
533:13x 41
220:2x 2x 5x 11
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 11x 13 = 3575
Therefore, the value for common factors is 3575.
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 = 38147609500/(1x3575)
LCM = 38147609500/3575
LCM = 10670660
Thus, we can understand that the LCM of 845,533,220,385 is 10670660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 845, 533, 220, 385
1. What is the LCM of 845, 533, 220, 385?
Answer: LCM of 845, 533, 220, 385 is 10670660.
2. How to calculate the LCM of 845, 533, 220, 385?
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 845, 533, 220, 385.
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}.