LCM of 807, 208, 541, 978, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 208, 541, 978, 545 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 807, 208, 541, 978, 545. So, keep reading to learn more.
Given numbers are 807,208,541,978,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,208,541,978,545 is 8067114878160.
Find LCM of 807,208,541,978,545 with Prime Factorization
| 2 | 807, 208, 541, 978, 545 |
| 3 | 807, 104, 541, 489, 545 |
| 269, 104, 541, 163, 545 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 269 x 104 x 541 x 163 x 545 = 8067114878160
Therefore, the lowest common multiple of 807,208,541,978,545 is 8067114878160.
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.
807 x 208 x 541 x 978 x 545 = 48402689268960
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.
807 : 1, 3, 269, 807
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
541 : 1, 541
978 : 1, 2, 3, 6, 163, 326, 489, 978
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,208,541,978,545, is 1.
Now, the common factors can be found like this.
807:3x 269
208:2x 2x 2x 2x 13
541:541
978:2x 3x 163
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 48402689268960/(1x6)
LCM = 48402689268960/6
LCM = 8067114878160
Thus, we can understand that the LCM of 807,208,541,978,545 is 8067114878160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 807, 208, 541, 978, 545
1. What is the LCM of 807, 208, 541, 978, 545?
Answer: LCM of 807, 208, 541, 978, 545 is 8067114878160.
2. How to calculate the LCM of 807, 208, 541, 978, 545?
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 807, 208, 541, 978, 545.
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}.