LCM of 707, 882, 548, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 882, 548, 240 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 707, 882, 548, 240. So, keep reading to learn more.
Given numbers are 707,882,548,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,882,548,240 is 488169360.
Find LCM of 707,882,548,240 with Prime Factorization
| 2 | 707, 882, 548, 240 |
| 2 | 707, 441, 274, 120 |
| 3 | 707, 441, 137, 60 |
| 7 | 707, 147, 137, 20 |
| 101, 21, 137, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 101 x 21 x 137 x 20 = 488169360
Therefore, the lowest common multiple of 707,882,548,240 is 488169360.
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.
707 x 882 x 548 x 240 = 82012452480
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.
707 : 1, 7, 101, 707
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
548 : 1, 2, 4, 137, 274, 548
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,882,548,240, is 1.
Now, the common factors can be found like this.
707:7x 101
882:2x 3x 3x 7x 7
548:2x 2x 137
240:2x 2x 2x 2x 3x 5
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 82012452480/(1x168)
LCM = 82012452480/168
LCM = 488169360
Thus, we can understand that the LCM of 707,882,548,240 is 488169360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 707, 882, 548, 240
1. What is the LCM of 707, 882, 548, 240?
Answer: LCM of 707, 882, 548, 240 is 488169360.
2. How to calculate the LCM of 707, 882, 548, 240?
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 707, 882, 548, 240.
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}.