LCM of 647, 777, 920, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 777, 920, 210 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 647, 777, 920, 210. So, keep reading to learn more.
Given numbers are 647,777,920,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,777,920,210 is 462501480.
Find LCM of 647,777,920,210 with Prime Factorization
| 2 | 647, 777, 920, 210 |
| 3 | 647, 777, 460, 105 |
| 5 | 647, 259, 460, 35 |
| 7 | 647, 259, 92, 7 |
| 647, 37, 92, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 647 x 37 x 92 x 1 = 462501480
Therefore, the lowest common multiple of 647,777,920,210 is 462501480.
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.
647 x 777 x 920 x 210 = 97125310800
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.
647 : 1, 647
777 : 1, 3, 7, 21, 37, 111, 259, 777
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,777,920,210, is 1.
Now, the common factors can be found like this.
647:647
777:3x 7x 37
920:2x 2x 2x 5x 23
210:2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 97125310800/(1x210)
LCM = 97125310800/210
LCM = 462501480
Thus, we can understand that the LCM of 647,777,920,210 is 462501480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 647, 777, 920, 210
1. What is the LCM of 647, 777, 920, 210?
Answer: LCM of 647, 777, 920, 210 is 462501480.
2. How to calculate the LCM of 647, 777, 920, 210?
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 647, 777, 920, 210.
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}.